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Finding the Third Proportional to 91,758 and 141,819

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Solution

The third proportional to 91,758 and 141,819 is: 219,192.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,758 : 141,819 = 141,819 : x
  2. Step 2: Convert to fraction form
    91,758/141,819 = 141,819/x
  3. Step 3: Cross multiply
    91,758x = 141,819 × 141,819
  4. Step 4: Simplify right side
    91,758x = 20,112,628,761
  5. Step 5: Solve for x
    x = 20,112,628,761/91,758
  6. Step 6: Final answer
    x = 219,192.10

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.