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Finding the Third Proportional to 91,778 and 133,673

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Solution

The third proportional to 91,778 and 133,673 is: 194,692.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,778 : 133,673 = 133,673 : x
  2. Step 2: Convert to fraction form
    91,778/133,673 = 133,673/x
  3. Step 3: Cross multiply
    91,778x = 133,673 × 133,673
  4. Step 4: Simplify right side
    91,778x = 17,868,470,929
  5. Step 5: Solve for x
    x = 17,868,470,929/91,778
  6. Step 6: Final answer
    x = 194,692.31

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.