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Finding the Third Proportional to 54,718.50 and 113,228.25

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Solution

The third proportional to 54,718.50 and 113,228.25 is: 234,301.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,718.50 : 113,228.25 = 113,228.25 : x
  2. Step 2: Convert to fraction form
    54,718.50/113,228.25 = 113,228.25/x
  3. Step 3: Cross multiply
    54,718.50x = 113,228.25 × 113,228.25
  4. Step 4: Simplify right side
    54,718.50x = 12,820,636,598.06
  5. Step 5: Solve for x
    x = 12,820,636,598.06/54,718.50
  6. Step 6: Final answer
    x = 234,301.68

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These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.