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Finding the Third Proportional to 90,483.75 and 133,092

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Solution

The third proportional to 90,483.75 and 133,092 is: 195,764.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,483.75 : 133,092 = 133,092 : x
  2. Step 2: Convert to fraction form
    90,483.75/133,092 = 133,092/x
  3. Step 3: Cross multiply
    90,483.75x = 133,092 × 133,092
  4. Step 4: Simplify right side
    90,483.75x = 17,713,480,464
  5. Step 5: Solve for x
    x = 17,713,480,464/90,483.75
  6. Step 6: Final answer
    x = 195,764.22

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.