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Finding the Third Proportional to 125,964 and 192,294

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Solution

The third proportional to 125,964 and 192,294 is: 293,551.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,964 : 192,294 = 192,294 : x
  2. Step 2: Convert to fraction form
    125,964/192,294 = 192,294/x
  3. Step 3: Cross multiply
    125,964x = 192,294 × 192,294
  4. Step 4: Simplify right side
    125,964x = 36,976,982,436
  5. Step 5: Solve for x
    x = 36,976,982,436/125,964
  6. Step 6: Final answer
    x = 293,551.99

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.