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Finding the Third Proportional to 83,484 and 125,946

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Solution

The third proportional to 83,484 and 125,946 is: 190,005.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,484 : 125,946 = 125,946 : x
  2. Step 2: Convert to fraction form
    83,484/125,946 = 125,946/x
  3. Step 3: Cross multiply
    83,484x = 125,946 × 125,946
  4. Step 4: Simplify right side
    83,484x = 15,862,394,916
  5. Step 5: Solve for x
    x = 15,862,394,916/83,484
  6. Step 6: Final answer
    x = 190,005.21

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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.