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Finding the Third Proportional to 60,961 and 146,846.50

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Solution

The third proportional to 60,961 and 146,846.50 is: 353,732.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,961 : 146,846.50 = 146,846.50 : x
  2. Step 2: Convert to fraction form
    60,961/146,846.50 = 146,846.50/x
  3. Step 3: Cross multiply
    60,961x = 146,846.50 × 146,846.50
  4. Step 4: Simplify right side
    60,961x = 21,563,894,562.25
  5. Step 5: Solve for x
    x = 21,563,894,562.25/60,961
  6. Step 6: Final answer
    x = 353,732.63

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These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.