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Finding the Third Proportional to 63,166 and 133,580

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Solution

The third proportional to 63,166 and 133,580 is: 282,487.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,166 : 133,580 = 133,580 : x
  2. Step 2: Convert to fraction form
    63,166/133,580 = 133,580/x
  3. Step 3: Cross multiply
    63,166x = 133,580 × 133,580
  4. Step 4: Simplify right side
    63,166x = 17,843,616,400
  5. Step 5: Solve for x
    x = 17,843,616,400/63,166
  6. Step 6: Final answer
    x = 282,487.67

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.