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Finding the Third Proportional to 124,166 and 276,436

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Solution

The third proportional to 124,166 and 276,436 is: 615,441.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,166 : 276,436 = 276,436 : x
  2. Step 2: Convert to fraction form
    124,166/276,436 = 276,436/x
  3. Step 3: Cross multiply
    124,166x = 276,436 × 276,436
  4. Step 4: Simplify right side
    124,166x = 76,416,862,096
  5. Step 5: Solve for x
    x = 76,416,862,096/124,166
  6. Step 6: Final answer
    x = 615,441.12

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.