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Finding the Third Proportional to 67,454.25 and 146,572.50

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Solution

The third proportional to 67,454.25 and 146,572.50 is: 318,489.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,454.25 : 146,572.50 = 146,572.50 : x
  2. Step 2: Convert to fraction form
    67,454.25/146,572.50 = 146,572.50/x
  3. Step 3: Cross multiply
    67,454.25x = 146,572.50 × 146,572.50
  4. Step 4: Simplify right side
    67,454.25x = 21,483,497,756.25
  5. Step 5: Solve for x
    x = 21,483,497,756.25/67,454.25
  6. Step 6: Final answer
    x = 318,489.91

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.