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Finding the Third Proportional to 94,353 and 147,267

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Solution

The third proportional to 94,353 and 147,267 is: 229,855.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,353 : 147,267 = 147,267 : x
  2. Step 2: Convert to fraction form
    94,353/147,267 = 147,267/x
  3. Step 3: Cross multiply
    94,353x = 147,267 × 147,267
  4. Step 4: Simplify right side
    94,353x = 21,687,569,289
  5. Step 5: Solve for x
    x = 21,687,569,289/94,353
  6. Step 6: Final answer
    x = 229,855.64

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.