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Finding the Third Proportional to 120,705 and 182,613.75

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Solution

The third proportional to 120,705 and 182,613.75 is: 276,275.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,705 : 182,613.75 = 182,613.75 : x
  2. Step 2: Convert to fraction form
    120,705/182,613.75 = 182,613.75/x
  3. Step 3: Cross multiply
    120,705x = 182,613.75 × 182,613.75
  4. Step 4: Simplify right side
    120,705x = 33,347,781,689.06
  5. Step 5: Solve for x
    x = 33,347,781,689.06/120,705
  6. Step 6: Final answer
    x = 276,275.06

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.