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Finding the Third Proportional to 83,200 and 125,862

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Solution

The third proportional to 83,200 and 125,862 is: 190,399.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,200 : 125,862 = 125,862 : x
  2. Step 2: Convert to fraction form
    83,200/125,862 = 125,862/x
  3. Step 3: Cross multiply
    83,200x = 125,862 × 125,862
  4. Step 4: Simplify right side
    83,200x = 15,841,243,044
  5. Step 5: Solve for x
    x = 15,841,243,044/83,200
  6. Step 6: Final answer
    x = 190,399.56

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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.