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Finding the Third Proportional to 54,998 and 105,621.50

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Solution

The third proportional to 54,998 and 105,621.50 is: 202,841.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,998 : 105,621.50 = 105,621.50 : x
  2. Step 2: Convert to fraction form
    54,998/105,621.50 = 105,621.50/x
  3. Step 3: Cross multiply
    54,998x = 105,621.50 × 105,621.50
  4. Step 4: Simplify right side
    54,998x = 11,155,901,262.25
  5. Step 5: Solve for x
    x = 11,155,901,262.25/54,998
  6. Step 6: Final answer
    x = 202,841.94

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These problems maintain the same ratio (1.92) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.