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Finding the Third Proportional to 73,693.13 and 157,901.06

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Solution

The third proportional to 73,693.13 and 157,901.06 is: 338,332.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,693.13 : 157,901.06 = 157,901.06 : x
  2. Step 2: Convert to fraction form
    73,693.13/157,901.06 = 157,901.06/x
  3. Step 3: Cross multiply
    73,693.13x = 157,901.06 × 157,901.06
  4. Step 4: Simplify right side
    73,693.13x = 24,932,745,538.63
  5. Step 5: Solve for x
    x = 24,932,745,538.63/73,693.13
  6. Step 6: Final answer
    x = 338,332.04

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.