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Finding the Third Proportional to 87,966 and 135,742.50

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Solution

The third proportional to 87,966 and 135,742.50 is: 209,467.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,966 : 135,742.50 = 135,742.50 : x
  2. Step 2: Convert to fraction form
    87,966/135,742.50 = 135,742.50/x
  3. Step 3: Cross multiply
    87,966x = 135,742.50 × 135,742.50
  4. Step 4: Simplify right side
    87,966x = 18,426,026,306.25
  5. Step 5: Solve for x
    x = 18,426,026,306.25/87,966
  6. Step 6: Final answer
    x = 209,467.59

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.