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Finding the Third Proportional to 91,769 and 133,658

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Solution

The third proportional to 91,769 and 133,658 is: 194,667.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,769 : 133,658 = 133,658 : x
  2. Step 2: Convert to fraction form
    91,769/133,658 = 133,658/x
  3. Step 3: Cross multiply
    91,769x = 133,658 × 133,658
  4. Step 4: Simplify right side
    91,769x = 17,864,460,964
  5. Step 5: Solve for x
    x = 17,864,460,964/91,769
  6. Step 6: Final answer
    x = 194,667.71

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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.