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Finding the Third Proportional to 130,690 and 192,206

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Solution

The third proportional to 130,690 and 192,206 is: 282,677.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,690 : 192,206 = 192,206 : x
  2. Step 2: Convert to fraction form
    130,690/192,206 = 192,206/x
  3. Step 3: Cross multiply
    130,690x = 192,206 × 192,206
  4. Step 4: Simplify right side
    130,690x = 36,943,146,436
  5. Step 5: Solve for x
    x = 36,943,146,436/130,690
  6. Step 6: Final answer
    x = 282,677.68

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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.