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Finding the Third Proportional to 138,063 and 205,150.50

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Solution

The third proportional to 138,063 and 205,150.50 is: 304,837.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,063 : 205,150.50 = 205,150.50 : x
  2. Step 2: Convert to fraction form
    138,063/205,150.50 = 205,150.50/x
  3. Step 3: Cross multiply
    138,063x = 205,150.50 × 205,150.50
  4. Step 4: Simplify right side
    138,063x = 42,086,727,650.25
  5. Step 5: Solve for x
    x = 42,086,727,650.25/138,063
  6. Step 6: Final answer
    x = 304,837.12

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.