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Finding the Third Proportional to 94,701 and 157,817

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Solution

The third proportional to 94,701 and 157,817 is: 262,998.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,701 : 157,817 = 157,817 : x
  2. Step 2: Convert to fraction form
    94,701/157,817 = 157,817/x
  3. Step 3: Cross multiply
    94,701x = 157,817 × 157,817
  4. Step 4: Simplify right side
    94,701x = 24,906,205,489
  5. Step 5: Solve for x
    x = 24,906,205,489/94,701
  6. Step 6: Final answer
    x = 262,998.34

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.