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Finding the Third Proportional to 124,562 and 192,963

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Solution

The third proportional to 124,562 and 192,963 is: 298,925.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,562 : 192,963 = 192,963 : x
  2. Step 2: Convert to fraction form
    124,562/192,963 = 192,963/x
  3. Step 3: Cross multiply
    124,562x = 192,963 × 192,963
  4. Step 4: Simplify right side
    124,562x = 37,234,719,369
  5. Step 5: Solve for x
    x = 37,234,719,369/124,562
  6. Step 6: Final answer
    x = 298,925.19

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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.