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Finding the Third Proportional to 104,488 and 159,180

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Solution

The third proportional to 104,488 and 159,180 is: 242,499.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,488 : 159,180 = 159,180 : x
  2. Step 2: Convert to fraction form
    104,488/159,180 = 159,180/x
  3. Step 3: Cross multiply
    104,488x = 159,180 × 159,180
  4. Step 4: Simplify right side
    104,488x = 25,338,272,400
  5. Step 5: Solve for x
    x = 25,338,272,400/104,488
  6. Step 6: Final answer
    x = 242,499.35

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.