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Finding the Third Proportional to 122,561 and 168,774

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Solution

The third proportional to 122,561 and 168,774 is: 232,412.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,561 : 168,774 = 168,774 : x
  2. Step 2: Convert to fraction form
    122,561/168,774 = 168,774/x
  3. Step 3: Cross multiply
    122,561x = 168,774 × 168,774
  4. Step 4: Simplify right side
    122,561x = 28,484,663,076
  5. Step 5: Solve for x
    x = 28,484,663,076/122,561
  6. Step 6: Final answer
    x = 232,412.13

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.