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Finding the Third Proportional to 29,217 and 63,104

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Solution

The third proportional to 29,217 and 63,104 is: 136,294.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,217 : 63,104 = 63,104 : x
  2. Step 2: Convert to fraction form
    29,217/63,104 = 63,104/x
  3. Step 3: Cross multiply
    29,217x = 63,104 × 63,104
  4. Step 4: Simplify right side
    29,217x = 3,982,114,816
  5. Step 5: Solve for x
    x = 3,982,114,816/29,217
  6. Step 6: Final answer
    x = 136,294.45

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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.