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Finding the Third Proportional to 40,658 and 74,566

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Solution

The third proportional to 40,658 and 74,566 is: 136,752.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,658 : 74,566 = 74,566 : x
  2. Step 2: Convert to fraction form
    40,658/74,566 = 74,566/x
  3. Step 3: Cross multiply
    40,658x = 74,566 × 74,566
  4. Step 4: Simplify right side
    40,658x = 5,560,088,356
  5. Step 5: Solve for x
    x = 5,560,088,356/40,658
  6. Step 6: Final answer
    x = 136,752.63

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Why These Related Problems?

These problems maintain the same ratio (1.83) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.