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Finding the Third Proportional to 104,514 and 158,959

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Solution

The third proportional to 104,514 and 158,959 is: 241,766.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,514 : 158,959 = 158,959 : x
  2. Step 2: Convert to fraction form
    104,514/158,959 = 158,959/x
  3. Step 3: Cross multiply
    104,514x = 158,959 × 158,959
  4. Step 4: Simplify right side
    104,514x = 25,267,963,681
  5. Step 5: Solve for x
    x = 25,267,963,681/104,514
  6. Step 6: Final answer
    x = 241,766.31

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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.