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Finding the Third Proportional to 40,987 and 88,433

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Solution

The third proportional to 40,987 and 88,433 is: 190,801.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,987 : 88,433 = 88,433 : x
  2. Step 2: Convert to fraction form
    40,987/88,433 = 88,433/x
  3. Step 3: Cross multiply
    40,987x = 88,433 × 88,433
  4. Step 4: Simplify right side
    40,987x = 7,820,395,489
  5. Step 5: Solve for x
    x = 7,820,395,489/40,987
  6. Step 6: Final answer
    x = 190,801.85

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.