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Finding the Third Proportional to 103,089 and 159,622

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Solution

The third proportional to 103,089 and 159,622 is: 247,157.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,089 : 159,622 = 159,622 : x
  2. Step 2: Convert to fraction form
    103,089/159,622 = 159,622/x
  3. Step 3: Cross multiply
    103,089x = 159,622 × 159,622
  4. Step 4: Simplify right side
    103,089x = 25,479,182,884
  5. Step 5: Solve for x
    x = 25,479,182,884/103,089
  6. Step 6: Final answer
    x = 247,157.14

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.