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Finding the Third Proportional to 63,184 and 84,786

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Solution

The third proportional to 63,184 and 84,786 is: 113,773.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,184 : 84,786 = 84,786 : x
  2. Step 2: Convert to fraction form
    63,184/84,786 = 84,786/x
  3. Step 3: Cross multiply
    63,184x = 84,786 × 84,786
  4. Step 4: Simplify right side
    63,184x = 7,188,665,796
  5. Step 5: Solve for x
    x = 7,188,665,796/63,184
  6. Step 6: Final answer
    x = 113,773.52

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.