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Finding the Third Proportional to 69,092 and 101,370

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Solution

The third proportional to 69,092 and 101,370 is: 148,727.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,092 : 101,370 = 101,370 : x
  2. Step 2: Convert to fraction form
    69,092/101,370 = 101,370/x
  3. Step 3: Cross multiply
    69,092x = 101,370 × 101,370
  4. Step 4: Simplify right side
    69,092x = 10,275,876,900
  5. Step 5: Solve for x
    x = 10,275,876,900/69,092
  6. Step 6: Final answer
    x = 148,727.45

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.