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Finding the Third Proportional to 94,226 and 132,056

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Solution

The third proportional to 94,226 and 132,056 is: 185,074.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,226 : 132,056 = 132,056 : x
  2. Step 2: Convert to fraction form
    94,226/132,056 = 132,056/x
  3. Step 3: Cross multiply
    94,226x = 132,056 × 132,056
  4. Step 4: Simplify right side
    94,226x = 17,438,787,136
  5. Step 5: Solve for x
    x = 17,438,787,136/94,226
  6. Step 6: Final answer
    x = 185,074.05

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.