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Finding the Third Proportional to 29,187 and 63,288

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Solution

The third proportional to 29,187 and 63,288 is: 137,231.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,187 : 63,288 = 63,288 : x
  2. Step 2: Convert to fraction form
    29,187/63,288 = 63,288/x
  3. Step 3: Cross multiply
    29,187x = 63,288 × 63,288
  4. Step 4: Simplify right side
    29,187x = 4,005,370,944
  5. Step 5: Solve for x
    x = 4,005,370,944/29,187
  6. Step 6: Final answer
    x = 137,231.33

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.