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Finding the Third Proportional to 91,397 and 141,240

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Solution

The third proportional to 91,397 and 141,240 is: 218,264.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,397 : 141,240 = 141,240 : x
  2. Step 2: Convert to fraction form
    91,397/141,240 = 141,240/x
  3. Step 3: Cross multiply
    91,397x = 141,240 × 141,240
  4. Step 4: Simplify right side
    91,397x = 19,948,737,600
  5. Step 5: Solve for x
    x = 19,948,737,600/91,397
  6. Step 6: Final answer
    x = 218,264.69

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.