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Finding the Third Proportional to 62,577 and 130,331.25

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Solution

The third proportional to 62,577 and 130,331.25 is: 271,445.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,577 : 130,331.25 = 130,331.25 : x
  2. Step 2: Convert to fraction form
    62,577/130,331.25 = 130,331.25/x
  3. Step 3: Cross multiply
    62,577x = 130,331.25 × 130,331.25
  4. Step 4: Simplify right side
    62,577x = 16,986,234,726.56
  5. Step 5: Solve for x
    x = 16,986,234,726.56/62,577
  6. Step 6: Final answer
    x = 271,445.33

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.