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Finding the Third Proportional to 80,656.50 and 124,830

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Solution

The third proportional to 80,656.50 and 124,830 is: 193,196.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,656.50 : 124,830 = 124,830 : x
  2. Step 2: Convert to fraction form
    80,656.50/124,830 = 124,830/x
  3. Step 3: Cross multiply
    80,656.50x = 124,830 × 124,830
  4. Step 4: Simplify right side
    80,656.50x = 15,582,528,900
  5. Step 5: Solve for x
    x = 15,582,528,900/80,656.50
  6. Step 6: Final answer
    x = 193,196.19

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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.