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Finding the Third Proportional to 90,543 and 133,040

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Solution

The third proportional to 90,543 and 133,040 is: 195,483.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,543 : 133,040 = 133,040 : x
  2. Step 2: Convert to fraction form
    90,543/133,040 = 133,040/x
  3. Step 3: Cross multiply
    90,543x = 133,040 × 133,040
  4. Step 4: Simplify right side
    90,543x = 17,699,641,600
  5. Step 5: Solve for x
    x = 17,699,641,600/90,543
  6. Step 6: Final answer
    x = 195,483.27

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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.