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Finding the Third Proportional to 62,594 and 130,366

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Solution

The third proportional to 62,594 and 130,366 is: 271,516.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,594 : 130,366 = 130,366 : x
  2. Step 2: Convert to fraction form
    62,594/130,366 = 130,366/x
  3. Step 3: Cross multiply
    62,594x = 130,366 × 130,366
  4. Step 4: Simplify right side
    62,594x = 16,995,293,956
  5. Step 5: Solve for x
    x = 16,995,293,956/62,594
  6. Step 6: Final answer
    x = 271,516.34

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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.