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Finding the Third Proportional to 62,694 and 130,572

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Solution

The third proportional to 62,694 and 130,572 is: 271,940.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,694 : 130,572 = 130,572 : x
  2. Step 2: Convert to fraction form
    62,694/130,572 = 130,572/x
  3. Step 3: Cross multiply
    62,694x = 130,572 × 130,572
  4. Step 4: Simplify right side
    62,694x = 17,049,047,184
  5. Step 5: Solve for x
    x = 17,049,047,184/62,694
  6. Step 6: Final answer
    x = 271,940.65

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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.