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Finding the Third Proportional to 29,292 and 60,661

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Solution

The third proportional to 29,292 and 60,661 is: 125,623.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,292 : 60,661 = 60,661 : x
  2. Step 2: Convert to fraction form
    29,292/60,661 = 60,661/x
  3. Step 3: Cross multiply
    29,292x = 60,661 × 60,661
  4. Step 4: Simplify right side
    29,292x = 3,679,756,921
  5. Step 5: Solve for x
    x = 3,679,756,921/29,292
  6. Step 6: Final answer
    x = 125,623.27

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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.