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Finding the Third Proportional to 37,403 and 82,219

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Solution

The third proportional to 37,403 and 82,219 is: 180,733.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,403 : 82,219 = 82,219 : x
  2. Step 2: Convert to fraction form
    37,403/82,219 = 82,219/x
  3. Step 3: Cross multiply
    37,403x = 82,219 × 82,219
  4. Step 4: Simplify right side
    37,403x = 6,759,963,961
  5. Step 5: Solve for x
    x = 6,759,963,961/37,403
  6. Step 6: Final answer
    x = 180,733.20

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.