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Finding the Third Proportional to 119,972 and 254,708

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Solution

The third proportional to 119,972 and 254,708 is: 540,760.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,972 : 254,708 = 254,708 : x
  2. Step 2: Convert to fraction form
    119,972/254,708 = 254,708/x
  3. Step 3: Cross multiply
    119,972x = 254,708 × 254,708
  4. Step 4: Simplify right side
    119,972x = 64,876,165,264
  5. Step 5: Solve for x
    x = 64,876,165,264/119,972
  6. Step 6: Final answer
    x = 540,760.89

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.