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Finding the Third Proportional to 102,360 and 143,334

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Solution

The third proportional to 102,360 and 143,334 is: 200,709.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,360 : 143,334 = 143,334 : x
  2. Step 2: Convert to fraction form
    102,360/143,334 = 143,334/x
  3. Step 3: Cross multiply
    102,360x = 143,334 × 143,334
  4. Step 4: Simplify right side
    102,360x = 20,544,635,556
  5. Step 5: Solve for x
    x = 20,544,635,556/102,360
  6. Step 6: Final answer
    x = 200,709.61

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.