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Finding the Third Proportional to 64,900 and 94,799

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Solution

The third proportional to 64,900 and 94,799 is: 138,472.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,900 : 94,799 = 94,799 : x
  2. Step 2: Convert to fraction form
    64,900/94,799 = 94,799/x
  3. Step 3: Cross multiply
    64,900x = 94,799 × 94,799
  4. Step 4: Simplify right side
    64,900x = 8,986,850,401
  5. Step 5: Solve for x
    x = 8,986,850,401/64,900
  6. Step 6: Final answer
    x = 138,472.27

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Why These Related Problems?

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