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Finding the Third Proportional to 141,070 and 191,374

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Solution

The third proportional to 141,070 and 191,374 is: 259,615.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,070 : 191,374 = 191,374 : x
  2. Step 2: Convert to fraction form
    141,070/191,374 = 191,374/x
  3. Step 3: Cross multiply
    141,070x = 191,374 × 191,374
  4. Step 4: Simplify right side
    141,070x = 36,624,007,876
  5. Step 5: Solve for x
    x = 36,624,007,876/141,070
  6. Step 6: Final answer
    x = 259,615.85

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.