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Finding the Third Proportional to 113,692.50 and 176,532.75

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Solution

The third proportional to 113,692.50 and 176,532.75 is: 274,106.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,692.50 : 176,532.75 = 176,532.75 : x
  2. Step 2: Convert to fraction form
    113,692.50/176,532.75 = 176,532.75/x
  3. Step 3: Cross multiply
    113,692.50x = 176,532.75 × 176,532.75
  4. Step 4: Simplify right side
    113,692.50x = 31,163,811,822.56
  5. Step 5: Solve for x
    x = 31,163,811,822.56/113,692.50
  6. Step 6: Final answer
    x = 274,106.14

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.