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Finding the Third Proportional to 124,219 and 175,600

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Solution

The third proportional to 124,219 and 175,600 is: 248,233.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,219 : 175,600 = 175,600 : x
  2. Step 2: Convert to fraction form
    124,219/175,600 = 175,600/x
  3. Step 3: Cross multiply
    124,219x = 175,600 × 175,600
  4. Step 4: Simplify right side
    124,219x = 30,835,360,000
  5. Step 5: Solve for x
    x = 30,835,360,000/124,219
  6. Step 6: Final answer
    x = 248,233.85

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