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Finding the Third Proportional to 96,531 and 145,408.50

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Solution

The third proportional to 96,531 and 145,408.50 is: 219,034.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,531 : 145,408.50 = 145,408.50 : x
  2. Step 2: Convert to fraction form
    96,531/145,408.50 = 145,408.50/x
  3. Step 3: Cross multiply
    96,531x = 145,408.50 × 145,408.50
  4. Step 4: Simplify right side
    96,531x = 21,143,631,872.25
  5. Step 5: Solve for x
    x = 21,143,631,872.25/96,531
  6. Step 6: Final answer
    x = 219,034.63

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.