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Finding the Third Proportional to 75,459 and 158,262

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Solution

The third proportional to 75,459 and 158,262 is: 331,926.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,459 : 158,262 = 158,262 : x
  2. Step 2: Convert to fraction form
    75,459/158,262 = 158,262/x
  3. Step 3: Cross multiply
    75,459x = 158,262 × 158,262
  4. Step 4: Simplify right side
    75,459x = 25,046,860,644
  5. Step 5: Solve for x
    x = 25,046,860,644/75,459
  6. Step 6: Final answer
    x = 331,926.75

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