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Finding the Third Proportional to 93,538.13 and 142,642.13

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Solution

The third proportional to 93,538.13 and 142,642.13 is: 217,523.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,538.13 : 142,642.13 = 142,642.13 : x
  2. Step 2: Convert to fraction form
    93,538.13/142,642.13 = 142,642.13/x
  3. Step 3: Cross multiply
    93,538.13x = 142,642.13 × 142,642.13
  4. Step 4: Simplify right side
    93,538.13x = 20,346,775,824.52
  5. Step 5: Solve for x
    x = 20,346,775,824.52/93,538.13
  6. Step 6: Final answer
    x = 217,523.88

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.