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Finding the Third Proportional to 54,248 and 83,830

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Solution

The third proportional to 54,248 and 83,830 is: 129,543.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,248 : 83,830 = 83,830 : x
  2. Step 2: Convert to fraction form
    54,248/83,830 = 83,830/x
  3. Step 3: Cross multiply
    54,248x = 83,830 × 83,830
  4. Step 4: Simplify right side
    54,248x = 7,027,468,900
  5. Step 5: Solve for x
    x = 7,027,468,900/54,248
  6. Step 6: Final answer
    x = 129,543.37

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.