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Finding the Third Proportional to 29,305 and 60,685

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Solution

The third proportional to 29,305 and 60,685 is: 125,666.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,305 : 60,685 = 60,685 : x
  2. Step 2: Convert to fraction form
    29,305/60,685 = 60,685/x
  3. Step 3: Cross multiply
    29,305x = 60,685 × 60,685
  4. Step 4: Simplify right side
    29,305x = 3,682,669,225
  5. Step 5: Solve for x
    x = 3,682,669,225/29,305
  6. Step 6: Final answer
    x = 125,666.92

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.