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Finding the Third Proportional to 60,645 and 124,314

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Solution

The third proportional to 60,645 and 124,314 is: 254,826.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,645 : 124,314 = 124,314 : x
  2. Step 2: Convert to fraction form
    60,645/124,314 = 124,314/x
  3. Step 3: Cross multiply
    60,645x = 124,314 × 124,314
  4. Step 4: Simplify right side
    60,645x = 15,453,970,596
  5. Step 5: Solve for x
    x = 15,453,970,596/60,645
  6. Step 6: Final answer
    x = 254,826.79

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.