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Finding the Third Proportional to 85,134 and 134,741

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Solution

The third proportional to 85,134 and 134,741 is: 213,253.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,134 : 134,741 = 134,741 : x
  2. Step 2: Convert to fraction form
    85,134/134,741 = 134,741/x
  3. Step 3: Cross multiply
    85,134x = 134,741 × 134,741
  4. Step 4: Simplify right side
    85,134x = 18,155,137,081
  5. Step 5: Solve for x
    x = 18,155,137,081/85,134
  6. Step 6: Final answer
    x = 213,253.66

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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.