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Finding the Third Proportional to 121,037 and 265,966

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Solution

The third proportional to 121,037 and 265,966 is: 584,432.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,037 : 265,966 = 265,966 : x
  2. Step 2: Convert to fraction form
    121,037/265,966 = 265,966/x
  3. Step 3: Cross multiply
    121,037x = 265,966 × 265,966
  4. Step 4: Simplify right side
    121,037x = 70,737,913,156
  5. Step 5: Solve for x
    x = 70,737,913,156/121,037
  6. Step 6: Final answer
    x = 584,432.14

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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.