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Finding the Third Proportional to 85,118 and 134,716

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Solution

The third proportional to 85,118 and 134,716 is: 213,214.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,118 : 134,716 = 134,716 : x
  2. Step 2: Convert to fraction form
    85,118/134,716 = 134,716/x
  3. Step 3: Cross multiply
    85,118x = 134,716 × 134,716
  4. Step 4: Simplify right side
    85,118x = 18,148,400,656
  5. Step 5: Solve for x
    x = 18,148,400,656/85,118
  6. Step 6: Final answer
    x = 213,214.60

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.