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Finding the Third Proportional to 107,777.50 and 163,157

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Solution

The third proportional to 107,777.50 and 163,157 is: 246,992.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,777.50 : 163,157 = 163,157 : x
  2. Step 2: Convert to fraction form
    107,777.50/163,157 = 163,157/x
  3. Step 3: Cross multiply
    107,777.50x = 163,157 × 163,157
  4. Step 4: Simplify right side
    107,777.50x = 26,620,206,649
  5. Step 5: Solve for x
    x = 26,620,206,649/107,777.50
  6. Step 6: Final answer
    x = 246,992.24

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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.