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Finding the Third Proportional to 52,103.25 and 73,775.81

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Solution

The third proportional to 52,103.25 and 73,775.81 is: 104,463.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,103.25 : 73,775.81 = 73,775.81 : x
  2. Step 2: Convert to fraction form
    52,103.25/73,775.81 = 73,775.81/x
  3. Step 3: Cross multiply
    52,103.25x = 73,775.81 × 73,775.81
  4. Step 4: Simplify right side
    52,103.25x = 5,442,870,510.04
  5. Step 5: Solve for x
    x = 5,442,870,510.04/52,103.25
  6. Step 6: Final answer
    x = 104,463.17

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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.