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Finding the Third Proportional to 95,916 and 150,459

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Solution

The third proportional to 95,916 and 150,459 is: 236,018.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,916 : 150,459 = 150,459 : x
  2. Step 2: Convert to fraction form
    95,916/150,459 = 150,459/x
  3. Step 3: Cross multiply
    95,916x = 150,459 × 150,459
  4. Step 4: Simplify right side
    95,916x = 22,637,910,681
  5. Step 5: Solve for x
    x = 22,637,910,681/95,916
  6. Step 6: Final answer
    x = 236,018.09

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.