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Finding the Third Proportional to 124,084 and 258,656

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Solution

The third proportional to 124,084 and 258,656 is: 539,174.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,084 : 258,656 = 258,656 : x
  2. Step 2: Convert to fraction form
    124,084/258,656 = 258,656/x
  3. Step 3: Cross multiply
    124,084x = 258,656 × 258,656
  4. Step 4: Simplify right side
    124,084x = 66,902,926,336
  5. Step 5: Solve for x
    x = 66,902,926,336/124,084
  6. Step 6: Final answer
    x = 539,174.48

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.