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Finding the Third Proportional to 130,694 and 192,213

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Solution

The third proportional to 130,694 and 192,213 is: 282,689.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,694 : 192,213 = 192,213 : x
  2. Step 2: Convert to fraction form
    130,694/192,213 = 192,213/x
  3. Step 3: Cross multiply
    130,694x = 192,213 × 192,213
  4. Step 4: Simplify right side
    130,694x = 36,945,837,369
  5. Step 5: Solve for x
    x = 36,945,837,369/130,694
  6. Step 6: Final answer
    x = 282,689.62

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.