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Finding the Third Proportional to 90,420 and 133,786

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Solution

The third proportional to 90,420 and 133,786 is: 197,950.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,420 : 133,786 = 133,786 : x
  2. Step 2: Convert to fraction form
    90,420/133,786 = 133,786/x
  3. Step 3: Cross multiply
    90,420x = 133,786 × 133,786
  4. Step 4: Simplify right side
    90,420x = 17,898,693,796
  5. Step 5: Solve for x
    x = 17,898,693,796/90,420
  6. Step 6: Final answer
    x = 197,950.61

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.