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Finding the Third Proportional to 124,605 and 188,203.50

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Solution

The third proportional to 124,605 and 188,203.50 is: 284,262.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,605 : 188,203.50 = 188,203.50 : x
  2. Step 2: Convert to fraction form
    124,605/188,203.50 = 188,203.50/x
  3. Step 3: Cross multiply
    124,605x = 188,203.50 × 188,203.50
  4. Step 4: Simplify right side
    124,605x = 35,420,557,412.25
  5. Step 5: Solve for x
    x = 35,420,557,412.25/124,605
  6. Step 6: Final answer
    x = 284,262.73

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.