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Finding the Third Proportional to 109,157.63 and 166,652.44

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Solution

The third proportional to 109,157.63 and 166,652.44 is: 254,430.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,157.63 : 166,652.44 = 166,652.44 : x
  2. Step 2: Convert to fraction form
    109,157.63/166,652.44 = 166,652.44/x
  3. Step 3: Cross multiply
    109,157.63x = 166,652.44 × 166,652.44
  4. Step 4: Simplify right side
    109,157.63x = 27,773,034,924.69
  5. Step 5: Solve for x
    x = 27,773,034,924.69/109,157.63
  6. Step 6: Final answer
    x = 254,430.55

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.