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Finding the Third Proportional to 78,160 and 120,976

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Solution

The third proportional to 78,160 and 120,976 is: 187,246.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,160 : 120,976 = 120,976 : x
  2. Step 2: Convert to fraction form
    78,160/120,976 = 120,976/x
  3. Step 3: Cross multiply
    78,160x = 120,976 × 120,976
  4. Step 4: Simplify right side
    78,160x = 14,635,192,576
  5. Step 5: Solve for x
    x = 14,635,192,576/78,160
  6. Step 6: Final answer
    x = 187,246.58

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.