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Finding the Third Proportional to 130,687 and 192,203

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Solution

The third proportional to 130,687 and 192,203 is: 282,675.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,687 : 192,203 = 192,203 : x
  2. Step 2: Convert to fraction form
    130,687/192,203 = 192,203/x
  3. Step 3: Cross multiply
    130,687x = 192,203 × 192,203
  4. Step 4: Simplify right side
    130,687x = 36,941,993,209
  5. Step 5: Solve for x
    x = 36,941,993,209/130,687
  6. Step 6: Final answer
    x = 282,675.35

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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.