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Finding the Third Proportional to 121,875.05 and 271,755.84

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Solution

The third proportional to 121,875.05 and 271,755.84 is: 605,958.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,875.05 : 271,755.84 = 271,755.84 : x
  2. Step 2: Convert to fraction form
    121,875.05/271,755.84 = 271,755.84/x
  3. Step 3: Cross multiply
    121,875.05x = 271,755.84 × 271,755.84
  4. Step 4: Simplify right side
    121,875.05x = 73,851,238,612.27
  5. Step 5: Solve for x
    x = 73,851,238,612.27/121,875.05
  6. Step 6: Final answer
    x = 605,958.65

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These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.