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Finding the Third Proportional to 124,228 and 175,614

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Solution

The third proportional to 124,228 and 175,614 is: 248,255.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,228 : 175,614 = 175,614 : x
  2. Step 2: Convert to fraction form
    124,228/175,614 = 175,614/x
  3. Step 3: Cross multiply
    124,228x = 175,614 × 175,614
  4. Step 4: Simplify right side
    124,228x = 30,840,276,996
  5. Step 5: Solve for x
    x = 30,840,276,996/124,228
  6. Step 6: Final answer
    x = 248,255.44

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.