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Finding the Third Proportional to 104,454 and 159,129

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Solution

The third proportional to 104,454 and 159,129 is: 242,422.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,454 : 159,129 = 159,129 : x
  2. Step 2: Convert to fraction form
    104,454/159,129 = 159,129/x
  3. Step 3: Cross multiply
    104,454x = 159,129 × 159,129
  4. Step 4: Simplify right side
    104,454x = 25,322,038,641
  5. Step 5: Solve for x
    x = 25,322,038,641/104,454
  6. Step 6: Final answer
    x = 242,422.87

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.