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Finding the Third Proportional to 71,523 and 152,290.13

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Solution

The third proportional to 71,523 and 152,290.13 is: 324,263.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,523 : 152,290.13 = 152,290.13 : x
  2. Step 2: Convert to fraction form
    71,523/152,290.13 = 152,290.13/x
  3. Step 3: Cross multiply
    71,523x = 152,290.13 × 152,290.13
  4. Step 4: Simplify right side
    71,523x = 23,192,282,172.52
  5. Step 5: Solve for x
    x = 23,192,282,172.52/71,523
  6. Step 6: Final answer
    x = 324,263.27

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.