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Finding the Third Proportional to 36,578 and 78,706

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Solution

The third proportional to 36,578 and 78,706 is: 169,354.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,578 : 78,706 = 78,706 : x
  2. Step 2: Convert to fraction form
    36,578/78,706 = 78,706/x
  3. Step 3: Cross multiply
    36,578x = 78,706 × 78,706
  4. Step 4: Simplify right side
    36,578x = 6,194,634,436
  5. Step 5: Solve for x
    x = 6,194,634,436/36,578
  6. Step 6: Final answer
    x = 169,354.10

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.