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Finding the Third Proportional to 91,966 and 140,623

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Solution

The third proportional to 91,966 and 140,623 is: 215,023.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,966 : 140,623 = 140,623 : x
  2. Step 2: Convert to fraction form
    91,966/140,623 = 140,623/x
  3. Step 3: Cross multiply
    91,966x = 140,623 × 140,623
  4. Step 4: Simplify right side
    91,966x = 19,774,828,129
  5. Step 5: Solve for x
    x = 19,774,828,129/91,966
  6. Step 6: Final answer
    x = 215,023.25

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.