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Finding the Third Proportional to 48,528 and 74,087

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Solution

The third proportional to 48,528 and 74,087 is: 113,107.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,528 : 74,087 = 74,087 : x
  2. Step 2: Convert to fraction form
    48,528/74,087 = 74,087/x
  3. Step 3: Cross multiply
    48,528x = 74,087 × 74,087
  4. Step 4: Simplify right side
    48,528x = 5,488,883,569
  5. Step 5: Solve for x
    x = 5,488,883,569/48,528
  6. Step 6: Final answer
    x = 113,107.56

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.