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Finding the Third Proportional to 72,712.69 and 152,047.13

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Solution

The third proportional to 72,712.69 and 152,047.13 is: 317,940.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,712.69 : 152,047.13 = 152,047.13 : x
  2. Step 2: Convert to fraction form
    72,712.69/152,047.13 = 152,047.13/x
  3. Step 3: Cross multiply
    72,712.69x = 152,047.13 × 152,047.13
  4. Step 4: Simplify right side
    72,712.69x = 23,118,328,220.77
  5. Step 5: Solve for x
    x = 23,118,328,220.77/72,712.69
  6. Step 6: Final answer
    x = 317,940.78

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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.