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Finding the Third Proportional to 34,840 and 76,224

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Solution

The third proportional to 34,840 and 76,224 is: 166,765.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,840 : 76,224 = 76,224 : x
  2. Step 2: Convert to fraction form
    34,840/76,224 = 76,224/x
  3. Step 3: Cross multiply
    34,840x = 76,224 × 76,224
  4. Step 4: Simplify right side
    34,840x = 5,810,098,176
  5. Step 5: Solve for x
    x = 5,810,098,176/34,840
  6. Step 6: Final answer
    x = 166,765.16

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.