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Finding the Third Proportional to 75,339 and 158,436

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Solution

The third proportional to 75,339 and 158,436 is: 333,186.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,339 : 158,436 = 158,436 : x
  2. Step 2: Convert to fraction form
    75,339/158,436 = 158,436/x
  3. Step 3: Cross multiply
    75,339x = 158,436 × 158,436
  4. Step 4: Simplify right side
    75,339x = 25,101,966,096
  5. Step 5: Solve for x
    x = 25,101,966,096/75,339
  6. Step 6: Final answer
    x = 333,186.88

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.