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Finding the Third Proportional to 69,713 and 93,670

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Solution

The third proportional to 69,713 and 93,670 is: 125,859.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,713 : 93,670 = 93,670 : x
  2. Step 2: Convert to fraction form
    69,713/93,670 = 93,670/x
  3. Step 3: Cross multiply
    69,713x = 93,670 × 93,670
  4. Step 4: Simplify right side
    69,713x = 8,774,068,900
  5. Step 5: Solve for x
    x = 8,774,068,900/69,713
  6. Step 6: Final answer
    x = 125,859.87

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.