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Finding the Third Proportional to 91,754 and 140,263

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Solution

The third proportional to 91,754 and 140,263 is: 214,418.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,754 : 140,263 = 140,263 : x
  2. Step 2: Convert to fraction form
    91,754/140,263 = 140,263/x
  3. Step 3: Cross multiply
    91,754x = 140,263 × 140,263
  4. Step 4: Simplify right side
    91,754x = 19,673,709,169
  5. Step 5: Solve for x
    x = 19,673,709,169/91,754
  6. Step 6: Final answer
    x = 214,418.00

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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.