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Finding the Third Proportional to 78,279 and 104,862

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Solution

The third proportional to 78,279 and 104,862 is: 140,472.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,279 : 104,862 = 104,862 : x
  2. Step 2: Convert to fraction form
    78,279/104,862 = 104,862/x
  3. Step 3: Cross multiply
    78,279x = 104,862 × 104,862
  4. Step 4: Simplify right side
    78,279x = 10,996,039,044
  5. Step 5: Solve for x
    x = 10,996,039,044/78,279
  6. Step 6: Final answer
    x = 140,472.40

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These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.