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Finding the Third Proportional to 75,386 and 102,380

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Solution

The third proportional to 75,386 and 102,380 is: 139,039.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,386 : 102,380 = 102,380 : x
  2. Step 2: Convert to fraction form
    75,386/102,380 = 102,380/x
  3. Step 3: Cross multiply
    75,386x = 102,380 × 102,380
  4. Step 4: Simplify right side
    75,386x = 10,481,664,400
  5. Step 5: Solve for x
    x = 10,481,664,400/75,386
  6. Step 6: Final answer
    x = 139,039.93

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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.