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Finding the Third Proportional to 124,232 and 175,624

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Solution

The third proportional to 124,232 and 175,624 is: 248,275.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,232 : 175,624 = 175,624 : x
  2. Step 2: Convert to fraction form
    124,232/175,624 = 175,624/x
  3. Step 3: Cross multiply
    124,232x = 175,624 × 175,624
  4. Step 4: Simplify right side
    124,232x = 30,843,789,376
  5. Step 5: Solve for x
    x = 30,843,789,376/124,232
  6. Step 6: Final answer
    x = 248,275.72

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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.