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Finding the Third Proportional to 121,708 and 262,142

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Solution

The third proportional to 121,708 and 262,142 is: 564,617.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,708 : 262,142 = 262,142 : x
  2. Step 2: Convert to fraction form
    121,708/262,142 = 262,142/x
  3. Step 3: Cross multiply
    121,708x = 262,142 × 262,142
  4. Step 4: Simplify right side
    121,708x = 68,718,428,164
  5. Step 5: Solve for x
    x = 68,718,428,164/121,708
  6. Step 6: Final answer
    x = 564,617.18

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.