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Finding the Third Proportional to 40,310 and 87,787

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Solution

The third proportional to 40,310 and 87,787 is: 191,182.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,310 : 87,787 = 87,787 : x
  2. Step 2: Convert to fraction form
    40,310/87,787 = 87,787/x
  3. Step 3: Cross multiply
    40,310x = 87,787 × 87,787
  4. Step 4: Simplify right side
    40,310x = 7,706,557,369
  5. Step 5: Solve for x
    x = 7,706,557,369/40,310
  6. Step 6: Final answer
    x = 191,182.27

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.