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Finding the Third Proportional to 124,224 and 175,608

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Solution

The third proportional to 124,224 and 175,608 is: 248,246.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,224 : 175,608 = 175,608 : x
  2. Step 2: Convert to fraction form
    124,224/175,608 = 175,608/x
  3. Step 3: Cross multiply
    124,224x = 175,608 × 175,608
  4. Step 4: Simplify right side
    124,224x = 30,838,169,664
  5. Step 5: Solve for x
    x = 30,838,169,664/124,224
  6. Step 6: Final answer
    x = 248,246.47

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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.