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Finding the Third Proportional to 121,126 and 282,920

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Solution

The third proportional to 121,126 and 282,920 is: 660,830.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,126 : 282,920 = 282,920 : x
  2. Step 2: Convert to fraction form
    121,126/282,920 = 282,920/x
  3. Step 3: Cross multiply
    121,126x = 282,920 × 282,920
  4. Step 4: Simplify right side
    121,126x = 80,043,726,400
  5. Step 5: Solve for x
    x = 80,043,726,400/121,126
  6. Step 6: Final answer
    x = 660,830.26

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.