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Finding the Third Proportional to 107,777.34 and 163,157.06

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Solution

The third proportional to 107,777.34 and 163,157.06 is: 246,992.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,777.34 : 163,157.06 = 163,157.06 : x
  2. Step 2: Convert to fraction form
    107,777.34/163,157.06 = 163,157.06/x
  3. Step 3: Cross multiply
    107,777.34x = 163,157.06 × 163,157.06
  4. Step 4: Simplify right side
    107,777.34x = 26,620,227,043.63
  5. Step 5: Solve for x
    x = 26,620,227,043.63/107,777.34
  6. Step 6: Final answer
    x = 246,992.79

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.