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Finding the Third Proportional to 53,295.75 and 123,394.50

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Solution

The third proportional to 53,295.75 and 123,394.50 is: 285,692.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,295.75 : 123,394.50 = 123,394.50 : x
  2. Step 2: Convert to fraction form
    53,295.75/123,394.50 = 123,394.50/x
  3. Step 3: Cross multiply
    53,295.75x = 123,394.50 × 123,394.50
  4. Step 4: Simplify right side
    53,295.75x = 15,226,202,630.25
  5. Step 5: Solve for x
    x = 15,226,202,630.25/53,295.75
  6. Step 6: Final answer
    x = 285,692.62

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.