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Finding the Third Proportional to 79,284 and 123,158

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Solution

The third proportional to 79,284 and 123,158 is: 191,310.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,284 : 123,158 = 123,158 : x
  2. Step 2: Convert to fraction form
    79,284/123,158 = 123,158/x
  3. Step 3: Cross multiply
    79,284x = 123,158 × 123,158
  4. Step 4: Simplify right side
    79,284x = 15,167,892,964
  5. Step 5: Solve for x
    x = 15,167,892,964/79,284
  6. Step 6: Final answer
    x = 191,310.89

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.