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Finding the Third Proportional to 91,414 and 141,267

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Solution

The third proportional to 91,414 and 141,267 is: 218,307.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,414 : 141,267 = 141,267 : x
  2. Step 2: Convert to fraction form
    91,414/141,267 = 141,267/x
  3. Step 3: Cross multiply
    91,414x = 141,267 × 141,267
  4. Step 4: Simplify right side
    91,414x = 19,956,365,289
  5. Step 5: Solve for x
    x = 19,956,365,289/91,414
  6. Step 6: Final answer
    x = 218,307.54

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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.