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Finding the Third Proportional to 48,542 and 73,259

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Solution

The third proportional to 48,542 and 73,259 is: 110,561.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,542 : 73,259 = 73,259 : x
  2. Step 2: Convert to fraction form
    48,542/73,259 = 73,259/x
  3. Step 3: Cross multiply
    48,542x = 73,259 × 73,259
  4. Step 4: Simplify right side
    48,542x = 5,366,881,081
  5. Step 5: Solve for x
    x = 5,366,881,081/48,542
  6. Step 6: Final answer
    x = 110,561.60

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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.