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Finding the Third Proportional to 29,244 and 63,158

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Solution

The third proportional to 29,244 and 63,158 is: 136,401.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,244 : 63,158 = 63,158 : x
  2. Step 2: Convert to fraction form
    29,244/63,158 = 63,158/x
  3. Step 3: Cross multiply
    29,244x = 63,158 × 63,158
  4. Step 4: Simplify right side
    29,244x = 3,988,932,964
  5. Step 5: Solve for x
    x = 3,988,932,964/29,244
  6. Step 6: Final answer
    x = 136,401.76

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.