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Finding the Third Proportional to 83,436 and 125,862

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Solution

The third proportional to 83,436 and 125,862 is: 189,861.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,436 : 125,862 = 125,862 : x
  2. Step 2: Convert to fraction form
    83,436/125,862 = 125,862/x
  3. Step 3: Cross multiply
    83,436x = 125,862 × 125,862
  4. Step 4: Simplify right side
    83,436x = 15,841,243,044
  5. Step 5: Solve for x
    x = 15,841,243,044/83,436
  6. Step 6: Final answer
    x = 189,861.01

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