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Finding the Third Proportional to 124,419 and 188,933

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Solution

The third proportional to 124,419 and 188,933 is: 286,898.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,419 : 188,933 = 188,933 : x
  2. Step 2: Convert to fraction form
    124,419/188,933 = 188,933/x
  3. Step 3: Cross multiply
    124,419x = 188,933 × 188,933
  4. Step 4: Simplify right side
    124,419x = 35,695,678,489
  5. Step 5: Solve for x
    x = 35,695,678,489/124,419
  6. Step 6: Final answer
    x = 286,898.93

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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.