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Finding the Third Proportional to 68,472 and 146,610

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Solution

The third proportional to 68,472 and 146,610 is: 313,916.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,472 : 146,610 = 146,610 : x
  2. Step 2: Convert to fraction form
    68,472/146,610 = 146,610/x
  3. Step 3: Cross multiply
    68,472x = 146,610 × 146,610
  4. Step 4: Simplify right side
    68,472x = 21,494,492,100
  5. Step 5: Solve for x
    x = 21,494,492,100/68,472
  6. Step 6: Final answer
    x = 313,916.52

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.