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Finding the Third Proportional to 67,693 and 148,511

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Solution

The third proportional to 67,693 and 148,511 is: 325,816.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,693 : 148,511 = 148,511 : x
  2. Step 2: Convert to fraction form
    67,693/148,511 = 148,511/x
  3. Step 3: Cross multiply
    67,693x = 148,511 × 148,511
  4. Step 4: Simplify right side
    67,693x = 22,055,517,121
  5. Step 5: Solve for x
    x = 22,055,517,121/67,693
  6. Step 6: Final answer
    x = 325,816.81

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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.