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Finding the Third Proportional to 91,188 and 140,076

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Solution

The third proportional to 91,188 and 140,076 is: 215,173.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,188 : 140,076 = 140,076 : x
  2. Step 2: Convert to fraction form
    91,188/140,076 = 140,076/x
  3. Step 3: Cross multiply
    91,188x = 140,076 × 140,076
  4. Step 4: Simplify right side
    91,188x = 19,621,285,776
  5. Step 5: Solve for x
    x = 19,621,285,776/91,188
  6. Step 6: Final answer
    x = 215,173.99

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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.