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Finding the Third Proportional to 121,592 and 181,900

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Solution

The third proportional to 121,592 and 181,900 is: 272,119.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,592 : 181,900 = 181,900 : x
  2. Step 2: Convert to fraction form
    121,592/181,900 = 181,900/x
  3. Step 3: Cross multiply
    121,592x = 181,900 × 181,900
  4. Step 4: Simplify right side
    121,592x = 33,087,610,000
  5. Step 5: Solve for x
    x = 33,087,610,000/121,592
  6. Step 6: Final answer
    x = 272,119.96

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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.