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Finding the Third Proportional to 29,259 and 64,493

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Solution

The third proportional to 29,259 and 64,493 is: 142,156.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,259 : 64,493 = 64,493 : x
  2. Step 2: Convert to fraction form
    29,259/64,493 = 64,493/x
  3. Step 3: Cross multiply
    29,259x = 64,493 × 64,493
  4. Step 4: Simplify right side
    29,259x = 4,159,347,049
  5. Step 5: Solve for x
    x = 4,159,347,049/29,259
  6. Step 6: Final answer
    x = 142,156.16

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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.