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Finding the Third Proportional to 67,181 and 101,528

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Solution

The third proportional to 67,181 and 101,528 is: 153,435.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,181 : 101,528 = 101,528 : x
  2. Step 2: Convert to fraction form
    67,181/101,528 = 101,528/x
  3. Step 3: Cross multiply
    67,181x = 101,528 × 101,528
  4. Step 4: Simplify right side
    67,181x = 10,307,934,784
  5. Step 5: Solve for x
    x = 10,307,934,784/67,181
  6. Step 6: Final answer
    x = 153,435.27

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.