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Finding the Third Proportional to 36,430 and 78,190

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Solution

The third proportional to 36,430 and 78,190 is: 167,819.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,430 : 78,190 = 78,190 : x
  2. Step 2: Convert to fraction form
    36,430/78,190 = 78,190/x
  3. Step 3: Cross multiply
    36,430x = 78,190 × 78,190
  4. Step 4: Simplify right side
    36,430x = 6,113,676,100
  5. Step 5: Solve for x
    x = 6,113,676,100/36,430
  6. Step 6: Final answer
    x = 167,819.82

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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.