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Finding the Third Proportional to 121,932 and 161,833.50

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Solution

The third proportional to 121,932 and 161,833.50 is: 214,792.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,932 : 161,833.50 = 161,833.50 : x
  2. Step 2: Convert to fraction form
    121,932/161,833.50 = 161,833.50/x
  3. Step 3: Cross multiply
    121,932x = 161,833.50 × 161,833.50
  4. Step 4: Simplify right side
    121,932x = 26,190,081,722.25
  5. Step 5: Solve for x
    x = 26,190,081,722.25/121,932
  6. Step 6: Final answer
    x = 214,792.52

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These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.