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Finding the Third Proportional to 121,082 and 247,510

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Solution

The third proportional to 121,082 and 247,510 is: 505,948.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,082 : 247,510 = 247,510 : x
  2. Step 2: Convert to fraction form
    121,082/247,510 = 247,510/x
  3. Step 3: Cross multiply
    121,082x = 247,510 × 247,510
  4. Step 4: Simplify right side
    121,082x = 61,261,200,100
  5. Step 5: Solve for x
    x = 61,261,200,100/121,082
  6. Step 6: Final answer
    x = 505,948.04

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.