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Finding the Third Proportional to 102,022 and 143,414

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Solution

The third proportional to 102,022 and 143,414 is: 201,599.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,022 : 143,414 = 143,414 : x
  2. Step 2: Convert to fraction form
    102,022/143,414 = 143,414/x
  3. Step 3: Cross multiply
    102,022x = 143,414 × 143,414
  4. Step 4: Simplify right side
    102,022x = 20,567,575,396
  5. Step 5: Solve for x
    x = 20,567,575,396/102,022
  6. Step 6: Final answer
    x = 201,599.41

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.