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Finding the Third Proportional to 63,930 and 93,571

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Solution

The third proportional to 63,930 and 93,571 is: 136,954.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,930 : 93,571 = 93,571 : x
  2. Step 2: Convert to fraction form
    63,930/93,571 = 93,571/x
  3. Step 3: Cross multiply
    63,930x = 93,571 × 93,571
  4. Step 4: Simplify right side
    63,930x = 8,755,532,041
  5. Step 5: Solve for x
    x = 8,755,532,041/63,930
  6. Step 6: Final answer
    x = 136,954.98

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.