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Finding the Third Proportional to 36,353 and 77,101

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Solution

The third proportional to 36,353 and 77,101 is: 163,523.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,353 : 77,101 = 77,101 : x
  2. Step 2: Convert to fraction form
    36,353/77,101 = 77,101/x
  3. Step 3: Cross multiply
    36,353x = 77,101 × 77,101
  4. Step 4: Simplify right side
    36,353x = 5,944,564,201
  5. Step 5: Solve for x
    x = 5,944,564,201/36,353
  6. Step 6: Final answer
    x = 163,523.35

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.