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Finding the Third Proportional to 85,370 and 123,334

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Solution

The third proportional to 85,370 and 123,334 is: 178,180.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,370 : 123,334 = 123,334 : x
  2. Step 2: Convert to fraction form
    85,370/123,334 = 123,334/x
  3. Step 3: Cross multiply
    85,370x = 123,334 × 123,334
  4. Step 4: Simplify right side
    85,370x = 15,211,275,556
  5. Step 5: Solve for x
    x = 15,211,275,556/85,370
  6. Step 6: Final answer
    x = 178,180.57

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.