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Finding the Third Proportional to 35,363 and 76,861

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Solution

The third proportional to 35,363 and 76,861 is: 167,056.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,363 : 76,861 = 76,861 : x
  2. Step 2: Convert to fraction form
    35,363/76,861 = 76,861/x
  3. Step 3: Cross multiply
    35,363x = 76,861 × 76,861
  4. Step 4: Simplify right side
    35,363x = 5,907,613,321
  5. Step 5: Solve for x
    x = 5,907,613,321/35,363
  6. Step 6: Final answer
    x = 167,056.34

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.