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Finding the Third Proportional to 29,900 and 63,128

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Solution

The third proportional to 29,900 and 63,128 is: 133,282.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,900 : 63,128 = 63,128 : x
  2. Step 2: Convert to fraction form
    29,900/63,128 = 63,128/x
  3. Step 3: Cross multiply
    29,900x = 63,128 × 63,128
  4. Step 4: Simplify right side
    29,900x = 3,985,144,384
  5. Step 5: Solve for x
    x = 3,985,144,384/29,900
  6. Step 6: Final answer
    x = 133,282.42

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.