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Finding the Third Proportional to 116,156 and 170,832

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Solution

The third proportional to 116,156 and 170,832 is: 251,244.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,156 : 170,832 = 170,832 : x
  2. Step 2: Convert to fraction form
    116,156/170,832 = 170,832/x
  3. Step 3: Cross multiply
    116,156x = 170,832 × 170,832
  4. Step 4: Simplify right side
    116,156x = 29,183,572,224
  5. Step 5: Solve for x
    x = 29,183,572,224/116,156
  6. Step 6: Final answer
    x = 251,244.64

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.