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Finding the Third Proportional to 69,095 and 101,374

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Solution

The third proportional to 69,095 and 101,374 is: 148,732.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,095 : 101,374 = 101,374 : x
  2. Step 2: Convert to fraction form
    69,095/101,374 = 101,374/x
  3. Step 3: Cross multiply
    69,095x = 101,374 × 101,374
  4. Step 4: Simplify right side
    69,095x = 10,276,687,876
  5. Step 5: Solve for x
    x = 10,276,687,876/69,095
  6. Step 6: Final answer
    x = 148,732.73

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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.