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Finding the Third Proportional to 74,613 and 112,640

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Solution

The third proportional to 74,613 and 112,640 is: 170,047.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,613 : 112,640 = 112,640 : x
  2. Step 2: Convert to fraction form
    74,613/112,640 = 112,640/x
  3. Step 3: Cross multiply
    74,613x = 112,640 × 112,640
  4. Step 4: Simplify right side
    74,613x = 12,687,769,600
  5. Step 5: Solve for x
    x = 12,687,769,600/74,613
  6. Step 6: Final answer
    x = 170,047.71

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Why These Related Problems?

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