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Finding the Third Proportional to 29,073 and 63,339

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Solution

The third proportional to 29,073 and 63,339 is: 137,991.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,073 : 63,339 = 63,339 : x
  2. Step 2: Convert to fraction form
    29,073/63,339 = 63,339/x
  3. Step 3: Cross multiply
    29,073x = 63,339 × 63,339
  4. Step 4: Simplify right side
    29,073x = 4,011,828,921
  5. Step 5: Solve for x
    x = 4,011,828,921/29,073
  6. Step 6: Final answer
    x = 137,991.57

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.