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Finding the Third Proportional to 124,416 and 167,616

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Solution

The third proportional to 124,416 and 167,616 is: 225,816

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,416 : 167,616 = 167,616 : x
  2. Step 2: Convert to fraction form
    124,416/167,616 = 167,616/x
  3. Step 3: Cross multiply
    124,416x = 167,616 × 167,616
  4. Step 4: Simplify right side
    124,416x = 28,095,123,456
  5. Step 5: Solve for x
    x = 28,095,123,456/124,416
  6. Step 6: Final answer
    x = 225,816

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.