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Finding the Third Proportional to 124,662 and 196,065

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Solution

The third proportional to 124,662 and 196,065 is: 308,365.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,662 : 196,065 = 196,065 : x
  2. Step 2: Convert to fraction form
    124,662/196,065 = 196,065/x
  3. Step 3: Cross multiply
    124,662x = 196,065 × 196,065
  4. Step 4: Simplify right side
    124,662x = 38,441,484,225
  5. Step 5: Solve for x
    x = 38,441,484,225/124,662
  6. Step 6: Final answer
    x = 308,365.69

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.