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Finding the Third Proportional to 29,217 and 64,266

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Solution

The third proportional to 29,217 and 64,266 is: 141,360.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,217 : 64,266 = 64,266 : x
  2. Step 2: Convert to fraction form
    29,217/64,266 = 64,266/x
  3. Step 3: Cross multiply
    29,217x = 64,266 × 64,266
  4. Step 4: Simplify right side
    29,217x = 4,130,118,756
  5. Step 5: Solve for x
    x = 4,130,118,756/29,217
  6. Step 6: Final answer
    x = 141,360.12

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.