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Finding the Third Proportional to 52,275 and 76,221

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Solution

The third proportional to 52,275 and 76,221 is: 111,136.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,275 : 76,221 = 76,221 : x
  2. Step 2: Convert to fraction form
    52,275/76,221 = 76,221/x
  3. Step 3: Cross multiply
    52,275x = 76,221 × 76,221
  4. Step 4: Simplify right side
    52,275x = 5,809,640,841
  5. Step 5: Solve for x
    x = 5,809,640,841/52,275
  6. Step 6: Final answer
    x = 111,136.12

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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.