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Finding the Third Proportional to 125,692.59 and 175,819.36

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Solution

The third proportional to 125,692.59 and 175,819.36 is: 245,936.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,692.59 : 175,819.36 = 175,819.36 : x
  2. Step 2: Convert to fraction form
    125,692.59/175,819.36 = 175,819.36/x
  3. Step 3: Cross multiply
    125,692.59x = 175,819.36 × 175,819.36
  4. Step 4: Simplify right side
    125,692.59x = 30,912,447,131.04
  5. Step 5: Solve for x
    x = 30,912,447,131.04/125,692.59
  6. Step 6: Final answer
    x = 245,936.90

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.