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Finding the Third Proportional to 75,026.25 and 109,572.75

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Solution

The third proportional to 75,026.25 and 109,572.75 is: 160,026.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,026.25 : 109,572.75 = 109,572.75 : x
  2. Step 2: Convert to fraction form
    75,026.25/109,572.75 = 109,572.75/x
  3. Step 3: Cross multiply
    75,026.25x = 109,572.75 × 109,572.75
  4. Step 4: Simplify right side
    75,026.25x = 12,006,187,542.56
  5. Step 5: Solve for x
    x = 12,006,187,542.56/75,026.25
  6. Step 6: Final answer
    x = 160,026.49

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.