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Finding the Third Proportional to 124,171 and 276,445

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Solution

The third proportional to 124,171 and 276,445 is: 615,456.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,171 : 276,445 = 276,445 : x
  2. Step 2: Convert to fraction form
    124,171/276,445 = 276,445/x
  3. Step 3: Cross multiply
    124,171x = 276,445 × 276,445
  4. Step 4: Simplify right side
    124,171x = 76,421,838,025
  5. Step 5: Solve for x
    x = 76,421,838,025/124,171
  6. Step 6: Final answer
    x = 615,456.41

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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.