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Finding the Third Proportional to 75,953 and 110,986

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Solution

The third proportional to 75,953 and 110,986 is: 162,177.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,953 : 110,986 = 110,986 : x
  2. Step 2: Convert to fraction form
    75,953/110,986 = 110,986/x
  3. Step 3: Cross multiply
    75,953x = 110,986 × 110,986
  4. Step 4: Simplify right side
    75,953x = 12,317,892,196
  5. Step 5: Solve for x
    x = 12,317,892,196/75,953
  6. Step 6: Final answer
    x = 162,177.82

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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.