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Finding the Third Proportional to 67,414.50 and 147,723.75

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Solution

The third proportional to 67,414.50 and 147,723.75 is: 323,703.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,414.50 : 147,723.75 = 147,723.75 : x
  2. Step 2: Convert to fraction form
    67,414.50/147,723.75 = 147,723.75/x
  3. Step 3: Cross multiply
    67,414.50x = 147,723.75 × 147,723.75
  4. Step 4: Simplify right side
    67,414.50x = 21,822,306,314.06
  5. Step 5: Solve for x
    x = 21,822,306,314.06/67,414.50
  6. Step 6: Final answer
    x = 323,703.45

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.