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Finding the Third Proportional to 78,916 and 167,624

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Solution

The third proportional to 78,916 and 167,624 is: 356,047.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,916 : 167,624 = 167,624 : x
  2. Step 2: Convert to fraction form
    78,916/167,624 = 167,624/x
  3. Step 3: Cross multiply
    78,916x = 167,624 × 167,624
  4. Step 4: Simplify right side
    78,916x = 28,097,805,376
  5. Step 5: Solve for x
    x = 28,097,805,376/78,916
  6. Step 6: Final answer
    x = 356,047.00

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.