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Finding the Third Proportional to 91,085.25 and 127,372

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Solution

The third proportional to 91,085.25 and 127,372 is: 178,114.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,085.25 : 127,372 = 127,372 : x
  2. Step 2: Convert to fraction form
    91,085.25/127,372 = 127,372/x
  3. Step 3: Cross multiply
    91,085.25x = 127,372 × 127,372
  4. Step 4: Simplify right side
    91,085.25x = 16,223,626,384
  5. Step 5: Solve for x
    x = 16,223,626,384/91,085.25
  6. Step 6: Final answer
    x = 178,114.75

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.