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Finding the Third Proportional to 120,110 and 173,959

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Solution

The third proportional to 120,110 and 173,959 is: 251,950.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,110 : 173,959 = 173,959 : x
  2. Step 2: Convert to fraction form
    120,110/173,959 = 173,959/x
  3. Step 3: Cross multiply
    120,110x = 173,959 × 173,959
  4. Step 4: Simplify right side
    120,110x = 30,261,733,681
  5. Step 5: Solve for x
    x = 30,261,733,681/120,110
  6. Step 6: Final answer
    x = 251,950.16

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.