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Finding the Third Proportional to 75,366 and 102,357

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Solution

The third proportional to 75,366 and 102,357 is: 139,014.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,366 : 102,357 = 102,357 : x
  2. Step 2: Convert to fraction form
    75,366/102,357 = 102,357/x
  3. Step 3: Cross multiply
    75,366x = 102,357 × 102,357
  4. Step 4: Simplify right side
    75,366x = 10,476,955,449
  5. Step 5: Solve for x
    x = 10,476,955,449/75,366
  6. Step 6: Final answer
    x = 139,014.35

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.