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Finding the Third Proportional to 72,624.38 and 157,312.13

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Solution

The third proportional to 72,624.38 and 157,312.13 is: 340,754.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,624.38 : 157,312.13 = 157,312.13 : x
  2. Step 2: Convert to fraction form
    72,624.38/157,312.13 = 157,312.13/x
  3. Step 3: Cross multiply
    72,624.38x = 157,312.13 × 157,312.13
  4. Step 4: Simplify right side
    72,624.38x = 24,747,104,672.02
  5. Step 5: Solve for x
    x = 24,747,104,672.02/72,624.38
  6. Step 6: Final answer
    x = 340,754.80

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.