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Finding the Third Proportional to 89,454 and 125,379

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Solution

The third proportional to 89,454 and 125,379 is: 175,731.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,454 : 125,379 = 125,379 : x
  2. Step 2: Convert to fraction form
    89,454/125,379 = 125,379/x
  3. Step 3: Cross multiply
    89,454x = 125,379 × 125,379
  4. Step 4: Simplify right side
    89,454x = 15,719,893,641
  5. Step 5: Solve for x
    x = 15,719,893,641/89,454
  6. Step 6: Final answer
    x = 175,731.59

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.