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Finding the Third Proportional to 124,566 and 192,969

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Solution

The third proportional to 124,566 and 192,969 is: 298,934.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,566 : 192,969 = 192,969 : x
  2. Step 2: Convert to fraction form
    124,566/192,969 = 192,969/x
  3. Step 3: Cross multiply
    124,566x = 192,969 × 192,969
  4. Step 4: Simplify right side
    124,566x = 37,237,034,961
  5. Step 5: Solve for x
    x = 37,237,034,961/124,566
  6. Step 6: Final answer
    x = 298,934.18

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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.