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Finding the Third Proportional to 36,313 and 78,361

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Solution

The third proportional to 36,313 and 78,361 is: 169,097.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,313 : 78,361 = 78,361 : x
  2. Step 2: Convert to fraction form
    36,313/78,361 = 78,361/x
  3. Step 3: Cross multiply
    36,313x = 78,361 × 78,361
  4. Step 4: Simplify right side
    36,313x = 6,140,446,321
  5. Step 5: Solve for x
    x = 6,140,446,321/36,313
  6. Step 6: Final answer
    x = 169,097.74

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.