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Finding the Third Proportional to 91,168 and 140,048

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Solution

The third proportional to 91,168 and 140,048 is: 215,135.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,168 : 140,048 = 140,048 : x
  2. Step 2: Convert to fraction form
    91,168/140,048 = 140,048/x
  3. Step 3: Cross multiply
    91,168x = 140,048 × 140,048
  4. Step 4: Simplify right side
    91,168x = 19,613,442,304
  5. Step 5: Solve for x
    x = 19,613,442,304/91,168
  6. Step 6: Final answer
    x = 215,135.16

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.