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Finding the Third Proportional to 60,484 and 123,560

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Solution

The third proportional to 60,484 and 123,560 is: 252,415.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,484 : 123,560 = 123,560 : x
  2. Step 2: Convert to fraction form
    60,484/123,560 = 123,560/x
  3. Step 3: Cross multiply
    60,484x = 123,560 × 123,560
  4. Step 4: Simplify right side
    60,484x = 15,267,073,600
  5. Step 5: Solve for x
    x = 15,267,073,600/60,484
  6. Step 6: Final answer
    x = 252,415.08

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.