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Finding the Third Proportional to 94,098 and 133,755

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Solution

The third proportional to 94,098 and 133,755 is: 190,125.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,098 : 133,755 = 133,755 : x
  2. Step 2: Convert to fraction form
    94,098/133,755 = 133,755/x
  3. Step 3: Cross multiply
    94,098x = 133,755 × 133,755
  4. Step 4: Simplify right side
    94,098x = 17,890,400,025
  5. Step 5: Solve for x
    x = 17,890,400,025/94,098
  6. Step 6: Final answer
    x = 190,125.19

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.