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Finding the Third Proportional to 124,837.88 and 182,872.13

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Solution

The third proportional to 124,837.88 and 182,872.13 is: 267,885.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,837.88 : 182,872.13 = 182,872.13 : x
  2. Step 2: Convert to fraction form
    124,837.88/182,872.13 = 182,872.13/x
  3. Step 3: Cross multiply
    124,837.88x = 182,872.13 × 182,872.13
  4. Step 4: Simplify right side
    124,837.88x = 33,442,214,102.02
  5. Step 5: Solve for x
    x = 33,442,214,102.02/124,837.88
  6. Step 6: Final answer
    x = 267,885.16

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.