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Finding the Third Proportional to 124,644 and 271,846.50

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Solution

The third proportional to 124,644 and 271,846.50 is: 592,892.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,644 : 271,846.50 = 271,846.50 : x
  2. Step 2: Convert to fraction form
    124,644/271,846.50 = 271,846.50/x
  3. Step 3: Cross multiply
    124,644x = 271,846.50 × 271,846.50
  4. Step 4: Simplify right side
    124,644x = 73,900,519,562.25
  5. Step 5: Solve for x
    x = 73,900,519,562.25/124,644
  6. Step 6: Final answer
    x = 592,892.71

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.