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Finding the Third Proportional to 108,832 and 159,522

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Solution

The third proportional to 108,832 and 159,522 is: 233,821.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,832 : 159,522 = 159,522 : x
  2. Step 2: Convert to fraction form
    108,832/159,522 = 159,522/x
  3. Step 3: Cross multiply
    108,832x = 159,522 × 159,522
  4. Step 4: Simplify right side
    108,832x = 25,447,268,484
  5. Step 5: Solve for x
    x = 25,447,268,484/108,832
  6. Step 6: Final answer
    x = 233,821.56

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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.