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Finding the Third Proportional to 67,712 and 148,552

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Solution

The third proportional to 67,712 and 148,552 is: 325,905.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,712 : 148,552 = 148,552 : x
  2. Step 2: Convert to fraction form
    67,712/148,552 = 148,552/x
  3. Step 3: Cross multiply
    67,712x = 148,552 × 148,552
  4. Step 4: Simplify right side
    67,712x = 22,067,696,704
  5. Step 5: Solve for x
    x = 22,067,696,704/67,712
  6. Step 6: Final answer
    x = 325,905.26

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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.