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Finding the Third Proportional to 67,304 and 145,753

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Solution

The third proportional to 67,304 and 145,753 is: 315,641.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,304 : 145,753 = 145,753 : x
  2. Step 2: Convert to fraction form
    67,304/145,753 = 145,753/x
  3. Step 3: Cross multiply
    67,304x = 145,753 × 145,753
  4. Step 4: Simplify right side
    67,304x = 21,243,937,009
  5. Step 5: Solve for x
    x = 21,243,937,009/67,304
  6. Step 6: Final answer
    x = 315,641.52

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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.