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Finding the Third Proportional to 83,246 and 124,377

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Solution

The third proportional to 83,246 and 124,377 is: 185,830.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,246 : 124,377 = 124,377 : x
  2. Step 2: Convert to fraction form
    83,246/124,377 = 124,377/x
  3. Step 3: Cross multiply
    83,246x = 124,377 × 124,377
  4. Step 4: Simplify right side
    83,246x = 15,469,638,129
  5. Step 5: Solve for x
    x = 15,469,638,129/83,246
  6. Step 6: Final answer
    x = 185,830.41

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.