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Finding the Third Proportional to 100,787.50 and 145,692.50

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Solution

The third proportional to 100,787.50 and 145,692.50 is: 210,604.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,787.50 : 145,692.50 = 145,692.50 : x
  2. Step 2: Convert to fraction form
    100,787.50/145,692.50 = 145,692.50/x
  3. Step 3: Cross multiply
    100,787.50x = 145,692.50 × 145,692.50
  4. Step 4: Simplify right side
    100,787.50x = 21,226,304,556.25
  5. Step 5: Solve for x
    x = 21,226,304,556.25/100,787.50
  6. Step 6: Final answer
    x = 210,604.53

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.