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Finding the Third Proportional to 121,402.13 and 183,796.59

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Solution

The third proportional to 121,402.13 and 183,796.59 is: 278,258.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,402.13 : 183,796.59 = 183,796.59 : x
  2. Step 2: Convert to fraction form
    121,402.13/183,796.59 = 183,796.59/x
  3. Step 3: Cross multiply
    121,402.13x = 183,796.59 × 183,796.59
  4. Step 4: Simplify right side
    121,402.13x = 33,781,187,874.10
  5. Step 5: Solve for x
    x = 33,781,187,874.10/121,402.13
  6. Step 6: Final answer
    x = 278,258.62

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.