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Finding the Third Proportional to 123,597 and 167,895

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Solution

The third proportional to 123,597 and 167,895 is: 228,069.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,597 : 167,895 = 167,895 : x
  2. Step 2: Convert to fraction form
    123,597/167,895 = 167,895/x
  3. Step 3: Cross multiply
    123,597x = 167,895 × 167,895
  4. Step 4: Simplify right side
    123,597x = 28,188,731,025
  5. Step 5: Solve for x
    x = 28,188,731,025/123,597
  6. Step 6: Final answer
    x = 228,069.70

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.