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Finding the Third Proportional to 72,412.13 and 151,445.25

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Solution

The third proportional to 72,412.13 and 151,445.25 is: 316,737.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,412.13 : 151,445.25 = 151,445.25 : x
  2. Step 2: Convert to fraction form
    72,412.13/151,445.25 = 151,445.25/x
  3. Step 3: Cross multiply
    72,412.13x = 151,445.25 × 151,445.25
  4. Step 4: Simplify right side
    72,412.13x = 22,935,663,747.56
  5. Step 5: Solve for x
    x = 22,935,663,747.56/72,412.13
  6. Step 6: Final answer
    x = 316,737.89

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.