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Finding the Third Proportional to 124,969.50 and 271,263

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Solution

The third proportional to 124,969.50 and 271,263 is: 588,812.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,969.50 : 271,263 = 271,263 : x
  2. Step 2: Convert to fraction form
    124,969.50/271,263 = 271,263/x
  3. Step 3: Cross multiply
    124,969.50x = 271,263 × 271,263
  4. Step 4: Simplify right side
    124,969.50x = 73,583,615,169
  5. Step 5: Solve for x
    x = 73,583,615,169/124,969.50
  6. Step 6: Final answer
    x = 588,812.59

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.