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Finding the Third Proportional to 39,087 and 85,526

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Solution

The third proportional to 39,087 and 85,526 is: 187,138.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,087 : 85,526 = 85,526 : x
  2. Step 2: Convert to fraction form
    39,087/85,526 = 85,526/x
  3. Step 3: Cross multiply
    39,087x = 85,526 × 85,526
  4. Step 4: Simplify right side
    39,087x = 7,314,696,676
  5. Step 5: Solve for x
    x = 7,314,696,676/39,087
  6. Step 6: Final answer
    x = 187,138.86

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.