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Finding the Third Proportional to 84,374 and 125,264

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Solution

The third proportional to 84,374 and 125,264 is: 185,970.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,374 : 125,264 = 125,264 : x
  2. Step 2: Convert to fraction form
    84,374/125,264 = 125,264/x
  3. Step 3: Cross multiply
    84,374x = 125,264 × 125,264
  4. Step 4: Simplify right side
    84,374x = 15,691,069,696
  5. Step 5: Solve for x
    x = 15,691,069,696/84,374
  6. Step 6: Final answer
    x = 185,970.44

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.