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Finding the Third Proportional to 85,889 and 133,741

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Solution

The third proportional to 85,889 and 133,741 is: 208,253.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,889 : 133,741 = 133,741 : x
  2. Step 2: Convert to fraction form
    85,889/133,741 = 133,741/x
  3. Step 3: Cross multiply
    85,889x = 133,741 × 133,741
  4. Step 4: Simplify right side
    85,889x = 17,886,655,081
  5. Step 5: Solve for x
    x = 17,886,655,081/85,889
  6. Step 6: Final answer
    x = 208,253.15

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.