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Finding the Third Proportional to 29,095 and 62,078

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Solution

The third proportional to 29,095 and 62,078 is: 132,451.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,095 : 62,078 = 62,078 : x
  2. Step 2: Convert to fraction form
    29,095/62,078 = 62,078/x
  3. Step 3: Cross multiply
    29,095x = 62,078 × 62,078
  4. Step 4: Simplify right side
    29,095x = 3,853,678,084
  5. Step 5: Solve for x
    x = 3,853,678,084/29,095
  6. Step 6: Final answer
    x = 132,451.56

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.