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Finding the Third Proportional to 67,116.50 and 144,740.75

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Solution

The third proportional to 67,116.50 and 144,740.75 is: 312,142.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,116.50 : 144,740.75 = 144,740.75 : x
  2. Step 2: Convert to fraction form
    67,116.50/144,740.75 = 144,740.75/x
  3. Step 3: Cross multiply
    67,116.50x = 144,740.75 × 144,740.75
  4. Step 4: Simplify right side
    67,116.50x = 20,949,884,710.56
  5. Step 5: Solve for x
    x = 20,949,884,710.56/67,116.50
  6. Step 6: Final answer
    x = 312,142.09

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.