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Finding the Third Proportional to 74,613 and 111,081

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Solution

The third proportional to 74,613 and 111,081 is: 165,373.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,613 : 111,081 = 111,081 : x
  2. Step 2: Convert to fraction form
    74,613/111,081 = 111,081/x
  3. Step 3: Cross multiply
    74,613x = 111,081 × 111,081
  4. Step 4: Simplify right side
    74,613x = 12,338,988,561
  5. Step 5: Solve for x
    x = 12,338,988,561/74,613
  6. Step 6: Final answer
    x = 165,373.17

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.