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Finding the Third Proportional to 63,184 and 135,889

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Solution

The third proportional to 63,184 and 135,889 is: 292,254.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,184 : 135,889 = 135,889 : x
  2. Step 2: Convert to fraction form
    63,184/135,889 = 135,889/x
  3. Step 3: Cross multiply
    63,184x = 135,889 × 135,889
  4. Step 4: Simplify right side
    63,184x = 18,465,820,321
  5. Step 5: Solve for x
    x = 18,465,820,321/63,184
  6. Step 6: Final answer
    x = 292,254.69

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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.