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Finding the Third Proportional to 75,346 and 102,329

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Solution

The third proportional to 75,346 and 102,329 is: 138,975.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,346 : 102,329 = 102,329 : x
  2. Step 2: Convert to fraction form
    75,346/102,329 = 102,329/x
  3. Step 3: Cross multiply
    75,346x = 102,329 × 102,329
  4. Step 4: Simplify right side
    75,346x = 10,471,224,241
  5. Step 5: Solve for x
    x = 10,471,224,241/75,346
  6. Step 6: Final answer
    x = 138,975.18

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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.