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Finding the Third Proportional to 40,002 and 87,537

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Solution

The third proportional to 40,002 and 87,537 is: 191,558.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,002 : 87,537 = 87,537 : x
  2. Step 2: Convert to fraction form
    40,002/87,537 = 87,537/x
  3. Step 3: Cross multiply
    40,002x = 87,537 × 87,537
  4. Step 4: Simplify right side
    40,002x = 7,662,726,369
  5. Step 5: Solve for x
    x = 7,662,726,369/40,002
  6. Step 6: Final answer
    x = 191,558.58

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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.