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Finding the Third Proportional to 78,183 and 168,531

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Solution

The third proportional to 78,183 and 168,531 is: 363,284.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,183 : 168,531 = 168,531 : x
  2. Step 2: Convert to fraction form
    78,183/168,531 = 168,531/x
  3. Step 3: Cross multiply
    78,183x = 168,531 × 168,531
  4. Step 4: Simplify right side
    78,183x = 28,402,697,961
  5. Step 5: Solve for x
    x = 28,402,697,961/78,183
  6. Step 6: Final answer
    x = 363,284.83

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.