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Finding the Third Proportional to 61,653 and 93,374

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Solution

The third proportional to 61,653 and 93,374 is: 141,415.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,653 : 93,374 = 93,374 : x
  2. Step 2: Convert to fraction form
    61,653/93,374 = 93,374/x
  3. Step 3: Cross multiply
    61,653x = 93,374 × 93,374
  4. Step 4: Simplify right side
    61,653x = 8,718,703,876
  5. Step 5: Solve for x
    x = 8,718,703,876/61,653
  6. Step 6: Final answer
    x = 141,415.73

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.