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Finding the Third Proportional to 121,101 and 181,692

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Solution

The third proportional to 121,101 and 181,692 is: 272,598.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,101 : 181,692 = 181,692 : x
  2. Step 2: Convert to fraction form
    121,101/181,692 = 181,692/x
  3. Step 3: Cross multiply
    121,101x = 181,692 × 181,692
  4. Step 4: Simplify right side
    121,101x = 33,011,982,864
  5. Step 5: Solve for x
    x = 33,011,982,864/121,101
  6. Step 6: Final answer
    x = 272,598.76

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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.