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Finding the Third Proportional to 61,636 and 95,226

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Solution

The third proportional to 61,636 and 95,226 is: 147,121.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,636 : 95,226 = 95,226 : x
  2. Step 2: Convert to fraction form
    61,636/95,226 = 95,226/x
  3. Step 3: Cross multiply
    61,636x = 95,226 × 95,226
  4. Step 4: Simplify right side
    61,636x = 9,067,991,076
  5. Step 5: Solve for x
    x = 9,067,991,076/61,636
  6. Step 6: Final answer
    x = 147,121.67

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.