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Finding the Third Proportional to 40,712 and 87,562

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Solution

The third proportional to 40,712 and 87,562 is: 188,325.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,712 : 87,562 = 87,562 : x
  2. Step 2: Convert to fraction form
    40,712/87,562 = 87,562/x
  3. Step 3: Cross multiply
    40,712x = 87,562 × 87,562
  4. Step 4: Simplify right side
    40,712x = 7,667,103,844
  5. Step 5: Solve for x
    x = 7,667,103,844/40,712
  6. Step 6: Final answer
    x = 188,325.40

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.