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Finding the Third Proportional to 78,158.53 and 159,079.50

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Solution

The third proportional to 78,158.53 and 159,079.50 is: 323,781.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,158.53 : 159,079.50 = 159,079.50 : x
  2. Step 2: Convert to fraction form
    78,158.53/159,079.50 = 159,079.50/x
  3. Step 3: Cross multiply
    78,158.53x = 159,079.50 × 159,079.50
  4. Step 4: Simplify right side
    78,158.53x = 25,306,287,320.25
  5. Step 5: Solve for x
    x = 25,306,287,320.25/78,158.53
  6. Step 6: Final answer
    x = 323,781.51

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These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.