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Finding the Third Proportional to 29,172 and 63,934

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Solution

The third proportional to 29,172 and 63,934 is: 140,119.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,172 : 63,934 = 63,934 : x
  2. Step 2: Convert to fraction form
    29,172/63,934 = 63,934/x
  3. Step 3: Cross multiply
    29,172x = 63,934 × 63,934
  4. Step 4: Simplify right side
    29,172x = 4,087,556,356
  5. Step 5: Solve for x
    x = 4,087,556,356/29,172
  6. Step 6: Final answer
    x = 140,119.17

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.