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Finding the Third Proportional to 68,755.50 and 148,617

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Solution

The third proportional to 68,755.50 and 148,617 is: 321,239.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,755.50 : 148,617 = 148,617 : x
  2. Step 2: Convert to fraction form
    68,755.50/148,617 = 148,617/x
  3. Step 3: Cross multiply
    68,755.50x = 148,617 × 148,617
  4. Step 4: Simplify right side
    68,755.50x = 22,087,012,689
  5. Step 5: Solve for x
    x = 22,087,012,689/68,755.50
  6. Step 6: Final answer
    x = 321,239.94

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.