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Finding the Third Proportional to 108,830 and 159,519

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Solution

The third proportional to 108,830 and 159,519 is: 233,817.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,830 : 159,519 = 159,519 : x
  2. Step 2: Convert to fraction form
    108,830/159,519 = 159,519/x
  3. Step 3: Cross multiply
    108,830x = 159,519 × 159,519
  4. Step 4: Simplify right side
    108,830x = 25,446,311,361
  5. Step 5: Solve for x
    x = 25,446,311,361/108,830
  6. Step 6: Final answer
    x = 233,817.07

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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.