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Finding the Third Proportional to 29,056 and 62,928

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Solution

The third proportional to 29,056 and 62,928 is: 136,286.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,056 : 62,928 = 62,928 : x
  2. Step 2: Convert to fraction form
    29,056/62,928 = 62,928/x
  3. Step 3: Cross multiply
    29,056x = 62,928 × 62,928
  4. Step 4: Simplify right side
    29,056x = 3,959,933,184
  5. Step 5: Solve for x
    x = 3,959,933,184/29,056
  6. Step 6: Final answer
    x = 136,286.25

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.