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Finding the Third Proportional to 94,478 and 144,226

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Solution

The third proportional to 94,478 and 144,226 is: 220,169.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,478 : 144,226 = 144,226 : x
  2. Step 2: Convert to fraction form
    94,478/144,226 = 144,226/x
  3. Step 3: Cross multiply
    94,478x = 144,226 × 144,226
  4. Step 4: Simplify right side
    94,478x = 20,801,139,076
  5. Step 5: Solve for x
    x = 20,801,139,076/94,478
  6. Step 6: Final answer
    x = 220,169.13

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Why These Related Problems?

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