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Finding the Third Proportional to 121,038 and 281,261

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Solution

The third proportional to 121,038 and 281,261 is: 653,577.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,038 : 281,261 = 281,261 : x
  2. Step 2: Convert to fraction form
    121,038/281,261 = 281,261/x
  3. Step 3: Cross multiply
    121,038x = 281,261 × 281,261
  4. Step 4: Simplify right side
    121,038x = 79,107,750,121
  5. Step 5: Solve for x
    x = 79,107,750,121/121,038
  6. Step 6: Final answer
    x = 653,577.80

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.