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Finding the Third Proportional to 124,944 and 182,730

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Solution

The third proportional to 124,944 and 182,730 is: 267,241.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,944 : 182,730 = 182,730 : x
  2. Step 2: Convert to fraction form
    124,944/182,730 = 182,730/x
  3. Step 3: Cross multiply
    124,944x = 182,730 × 182,730
  4. Step 4: Simplify right side
    124,944x = 33,390,252,900
  5. Step 5: Solve for x
    x = 33,390,252,900/124,944
  6. Step 6: Final answer
    x = 267,241.75

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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.