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Finding the Third Proportional to 80,269.50 and 127,208.25

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Solution

The third proportional to 80,269.50 and 127,208.25 is: 201,595.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,269.50 : 127,208.25 = 127,208.25 : x
  2. Step 2: Convert to fraction form
    80,269.50/127,208.25 = 127,208.25/x
  3. Step 3: Cross multiply
    80,269.50x = 127,208.25 × 127,208.25
  4. Step 4: Simplify right side
    80,269.50x = 16,181,938,868.06
  5. Step 5: Solve for x
    x = 16,181,938,868.06/80,269.50
  6. Step 6: Final answer
    x = 201,595.11

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.