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Finding the Third Proportional to 52,866.75 and 110,923.50

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Solution

The third proportional to 52,866.75 and 110,923.50 is: 232,736.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,866.75 : 110,923.50 = 110,923.50 : x
  2. Step 2: Convert to fraction form
    52,866.75/110,923.50 = 110,923.50/x
  3. Step 3: Cross multiply
    52,866.75x = 110,923.50 × 110,923.50
  4. Step 4: Simplify right side
    52,866.75x = 12,304,022,852.25
  5. Step 5: Solve for x
    x = 12,304,022,852.25/52,866.75
  6. Step 6: Final answer
    x = 232,736.51

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.