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Finding the Third Proportional to 54,899 and 74,572

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Solution

The third proportional to 54,899 and 74,572 is: 101,294.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,899 : 74,572 = 74,572 : x
  2. Step 2: Convert to fraction form
    54,899/74,572 = 74,572/x
  3. Step 3: Cross multiply
    54,899x = 74,572 × 74,572
  4. Step 4: Simplify right side
    54,899x = 5,560,983,184
  5. Step 5: Solve for x
    x = 5,560,983,184/54,899
  6. Step 6: Final answer
    x = 101,294.80

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.