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Finding the Third Proportional to 67,059.75 and 145,009.13

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Solution

The third proportional to 67,059.75 and 145,009.13 is: 313,565.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,059.75 : 145,009.13 = 145,009.13 : x
  2. Step 2: Convert to fraction form
    67,059.75/145,009.13 = 145,009.13/x
  3. Step 3: Cross multiply
    67,059.75x = 145,009.13 × 145,009.13
  4. Step 4: Simplify right side
    67,059.75x = 21,027,646,333.27
  5. Step 5: Solve for x
    x = 21,027,646,333.27/67,059.75
  6. Step 6: Final answer
    x = 313,565.83

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Why These Related Problems?

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