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Finding the Third Proportional to 89,274 and 130,493.25

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Solution

The third proportional to 89,274 and 130,493.25 is: 190,744.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,274 : 130,493.25 = 130,493.25 : x
  2. Step 2: Convert to fraction form
    89,274/130,493.25 = 130,493.25/x
  3. Step 3: Cross multiply
    89,274x = 130,493.25 × 130,493.25
  4. Step 4: Simplify right side
    89,274x = 17,028,488,295.56
  5. Step 5: Solve for x
    x = 17,028,488,295.56/89,274
  6. Step 6: Final answer
    x = 190,744.09

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.