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Finding the Third Proportional to 121,098 and 181,688

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Solution

The third proportional to 121,098 and 181,688 is: 272,593.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,098 : 181,688 = 181,688 : x
  2. Step 2: Convert to fraction form
    121,098/181,688 = 181,688/x
  3. Step 3: Cross multiply
    121,098x = 181,688 × 181,688
  4. Step 4: Simplify right side
    121,098x = 33,010,529,344
  5. Step 5: Solve for x
    x = 33,010,529,344/121,098
  6. Step 6: Final answer
    x = 272,593.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.