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Finding the Third Proportional to 67,302 and 145,750

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Solution

The third proportional to 67,302 and 145,750 is: 315,637.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,302 : 145,750 = 145,750 : x
  2. Step 2: Convert to fraction form
    67,302/145,750 = 145,750/x
  3. Step 3: Cross multiply
    67,302x = 145,750 × 145,750
  4. Step 4: Simplify right side
    67,302x = 21,243,062,500
  5. Step 5: Solve for x
    x = 21,243,062,500/67,302
  6. Step 6: Final answer
    x = 315,637.91

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Why These Related Problems?

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