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Finding the Third Proportional to 44,060 and 63,142

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Solution

The third proportional to 44,060 and 63,142 is: 90,488.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,060 : 63,142 = 63,142 : x
  2. Step 2: Convert to fraction form
    44,060/63,142 = 63,142/x
  3. Step 3: Cross multiply
    44,060x = 63,142 × 63,142
  4. Step 4: Simplify right side
    44,060x = 3,986,912,164
  5. Step 5: Solve for x
    x = 3,986,912,164/44,060
  6. Step 6: Final answer
    x = 90,488.25

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.