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Finding the Third Proportional to 75,384 and 102,378

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Solution

The third proportional to 75,384 and 102,378 is: 139,038.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,384 : 102,378 = 102,378 : x
  2. Step 2: Convert to fraction form
    75,384/102,378 = 102,378/x
  3. Step 3: Cross multiply
    75,384x = 102,378 × 102,378
  4. Step 4: Simplify right side
    75,384x = 10,481,254,884
  5. Step 5: Solve for x
    x = 10,481,254,884/75,384
  6. Step 6: Final answer
    x = 139,038.19

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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.