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Finding the Third Proportional to 61,471 and 91,812.75

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Solution

The third proportional to 61,471 and 91,812.75 is: 137,131.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,471 : 91,812.75 = 91,812.75 : x
  2. Step 2: Convert to fraction form
    61,471/91,812.75 = 91,812.75/x
  3. Step 3: Cross multiply
    61,471x = 91,812.75 × 91,812.75
  4. Step 4: Simplify right side
    61,471x = 8,429,581,062.56
  5. Step 5: Solve for x
    x = 8,429,581,062.56/61,471
  6. Step 6: Final answer
    x = 137,131.02

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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.