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Finding the Third Proportional to 124,564 and 192,966

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Solution

The third proportional to 124,564 and 192,966 is: 298,929.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,564 : 192,966 = 192,966 : x
  2. Step 2: Convert to fraction form
    124,564/192,966 = 192,966/x
  3. Step 3: Cross multiply
    124,564x = 192,966 × 192,966
  4. Step 4: Simplify right side
    124,564x = 37,235,877,156
  5. Step 5: Solve for x
    x = 37,235,877,156/124,564
  6. Step 6: Final answer
    x = 298,929.68

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.