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Finding the Third Proportional to 131,058 and 196,065

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Solution

The third proportional to 131,058 and 196,065 is: 293,316.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,058 : 196,065 = 196,065 : x
  2. Step 2: Convert to fraction form
    131,058/196,065 = 196,065/x
  3. Step 3: Cross multiply
    131,058x = 196,065 × 196,065
  4. Step 4: Simplify right side
    131,058x = 38,441,484,225
  5. Step 5: Solve for x
    x = 38,441,484,225/131,058
  6. Step 6: Final answer
    x = 293,316.58

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.