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Finding the Third Proportional to 104,891 and 157,300

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Solution

The third proportional to 104,891 and 157,300 is: 235,895.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,891 : 157,300 = 157,300 : x
  2. Step 2: Convert to fraction form
    104,891/157,300 = 157,300/x
  3. Step 3: Cross multiply
    104,891x = 157,300 × 157,300
  4. Step 4: Simplify right side
    104,891x = 24,743,290,000
  5. Step 5: Solve for x
    x = 24,743,290,000/104,891
  6. Step 6: Final answer
    x = 235,895.26

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.