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Finding the Third Proportional to 142,020 and 192,294

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Solution

The third proportional to 142,020 and 192,294 is: 260,364.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,020 : 192,294 = 192,294 : x
  2. Step 2: Convert to fraction form
    142,020/192,294 = 192,294/x
  3. Step 3: Cross multiply
    142,020x = 192,294 × 192,294
  4. Step 4: Simplify right side
    142,020x = 36,976,982,436
  5. Step 5: Solve for x
    x = 36,976,982,436/142,020
  6. Step 6: Final answer
    x = 260,364.61

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.