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Finding the Third Proportional to 29,141 and 62,095

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Solution

The third proportional to 29,141 and 62,095 is: 132,314.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,141 : 62,095 = 62,095 : x
  2. Step 2: Convert to fraction form
    29,141/62,095 = 62,095/x
  3. Step 3: Cross multiply
    29,141x = 62,095 × 62,095
  4. Step 4: Simplify right side
    29,141x = 3,855,789,025
  5. Step 5: Solve for x
    x = 3,855,789,025/29,141
  6. Step 6: Final answer
    x = 132,314.92

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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.