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Finding the Third Proportional to 121,034 and 266,098

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Solution

The third proportional to 121,034 and 266,098 is: 585,026.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,034 : 266,098 = 266,098 : x
  2. Step 2: Convert to fraction form
    121,034/266,098 = 266,098/x
  3. Step 3: Cross multiply
    121,034x = 266,098 × 266,098
  4. Step 4: Simplify right side
    121,034x = 70,808,145,604
  5. Step 5: Solve for x
    x = 70,808,145,604/121,034
  6. Step 6: Final answer
    x = 585,026.90

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.