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Finding the Third Proportional to 121,585.50 and 181,892.25

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Solution

The third proportional to 121,585.50 and 181,892.25 is: 272,111.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,585.50 : 181,892.25 = 181,892.25 : x
  2. Step 2: Convert to fraction form
    121,585.50/181,892.25 = 181,892.25/x
  3. Step 3: Cross multiply
    121,585.50x = 181,892.25 × 181,892.25
  4. Step 4: Simplify right side
    121,585.50x = 33,084,790,610.06
  5. Step 5: Solve for x
    x = 33,084,790,610.06/121,585.50
  6. Step 6: Final answer
    x = 272,111.32

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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.