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Finding the Third Proportional to 77,567 and 167,597

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Solution

The third proportional to 77,567 and 167,597 is: 362,122.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,567 : 167,597 = 167,597 : x
  2. Step 2: Convert to fraction form
    77,567/167,597 = 167,597/x
  3. Step 3: Cross multiply
    77,567x = 167,597 × 167,597
  4. Step 4: Simplify right side
    77,567x = 28,088,754,409
  5. Step 5: Solve for x
    x = 28,088,754,409/77,567
  6. Step 6: Final answer
    x = 362,122.48

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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.