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Finding the Third Proportional to 124,541 and 275,251

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Solution

The third proportional to 124,541 and 275,251 is: 608,338.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,541 : 275,251 = 275,251 : x
  2. Step 2: Convert to fraction form
    124,541/275,251 = 275,251/x
  3. Step 3: Cross multiply
    124,541x = 275,251 × 275,251
  4. Step 4: Simplify right side
    124,541x = 75,763,113,001
  5. Step 5: Solve for x
    x = 75,763,113,001/124,541
  6. Step 6: Final answer
    x = 608,338.72

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.