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Finding the Third Proportional to 124,839 and 193,083.75

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Solution

The third proportional to 124,839 and 193,083.75 is: 298,635.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,839 : 193,083.75 = 193,083.75 : x
  2. Step 2: Convert to fraction form
    124,839/193,083.75 = 193,083.75/x
  3. Step 3: Cross multiply
    124,839x = 193,083.75 × 193,083.75
  4. Step 4: Simplify right side
    124,839x = 37,281,334,514.06
  5. Step 5: Solve for x
    x = 37,281,334,514.06/124,839
  6. Step 6: Final answer
    x = 298,635.32

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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.