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Finding the Third Proportional to 132,507.56 and 272,031.75

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Solution

The third proportional to 132,507.56 and 272,031.75 is: 558,468.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,507.56 : 272,031.75 = 272,031.75 : x
  2. Step 2: Convert to fraction form
    132,507.56/272,031.75 = 272,031.75/x
  3. Step 3: Cross multiply
    132,507.56x = 272,031.75 × 272,031.75
  4. Step 4: Simplify right side
    132,507.56x = 74,001,273,008.06
  5. Step 5: Solve for x
    x = 74,001,273,008.06/132,507.56
  6. Step 6: Final answer
    x = 558,468.30

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.