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Finding the Third Proportional to 124,419 and 188,932.50

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Solution

The third proportional to 124,419 and 188,932.50 is: 286,897.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,419 : 188,932.50 = 188,932.50 : x
  2. Step 2: Convert to fraction form
    124,419/188,932.50 = 188,932.50/x
  3. Step 3: Cross multiply
    124,419x = 188,932.50 × 188,932.50
  4. Step 4: Simplify right side
    124,419x = 35,695,489,556.25
  5. Step 5: Solve for x
    x = 35,695,489,556.25/124,419
  6. Step 6: Final answer
    x = 286,897.42

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.