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Finding the Third Proportional to 75,352 and 102,338

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Solution

The third proportional to 75,352 and 102,338 is: 138,988.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,352 : 102,338 = 102,338 : x
  2. Step 2: Convert to fraction form
    75,352/102,338 = 102,338/x
  3. Step 3: Cross multiply
    75,352x = 102,338 × 102,338
  4. Step 4: Simplify right side
    75,352x = 10,473,066,244
  5. Step 5: Solve for x
    x = 10,473,066,244/75,352
  6. Step 6: Final answer
    x = 138,988.56

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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.