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Finding the Third Proportional to 71,290.13 and 151,753.50

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Solution

The third proportional to 71,290.13 and 151,753.50 is: 323,033.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,290.13 : 151,753.50 = 151,753.50 : x
  2. Step 2: Convert to fraction form
    71,290.13/151,753.50 = 151,753.50/x
  3. Step 3: Cross multiply
    71,290.13x = 151,753.50 × 151,753.50
  4. Step 4: Simplify right side
    71,290.13x = 23,029,124,762.25
  5. Step 5: Solve for x
    x = 23,029,124,762.25/71,290.13
  6. Step 6: Final answer
    x = 323,033.87

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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.