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Finding the Third Proportional to 62,694 and 130,569

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Solution

The third proportional to 62,694 and 130,569 is: 271,928.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,694 : 130,569 = 130,569 : x
  2. Step 2: Convert to fraction form
    62,694/130,569 = 130,569/x
  3. Step 3: Cross multiply
    62,694x = 130,569 × 130,569
  4. Step 4: Simplify right side
    62,694x = 17,048,263,761
  5. Step 5: Solve for x
    x = 17,048,263,761/62,694
  6. Step 6: Final answer
    x = 271,928.16

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.