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Finding the Third Proportional to 37,370 and 87,323

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Solution

The third proportional to 37,370 and 87,323 is: 204,048.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,370 : 87,323 = 87,323 : x
  2. Step 2: Convert to fraction form
    37,370/87,323 = 87,323/x
  3. Step 3: Cross multiply
    37,370x = 87,323 × 87,323
  4. Step 4: Simplify right side
    37,370x = 7,625,306,329
  5. Step 5: Solve for x
    x = 7,625,306,329/37,370
  6. Step 6: Final answer
    x = 204,048.87

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.