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Finding the Third Proportional to 46,743.75 and 102,052.13

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Solution

The third proportional to 46,743.75 and 102,052.13 is: 222,802.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,743.75 : 102,052.13 = 102,052.13 : x
  2. Step 2: Convert to fraction form
    46,743.75/102,052.13 = 102,052.13/x
  3. Step 3: Cross multiply
    46,743.75x = 102,052.13 × 102,052.13
  4. Step 4: Simplify right side
    46,743.75x = 10,414,636,217.02
  5. Step 5: Solve for x
    x = 10,414,636,217.02/46,743.75
  6. Step 6: Final answer
    x = 222,802.75

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.