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Finding the Third Proportional to 61,785 and 94,408.50

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Solution

The third proportional to 61,785 and 94,408.50 is: 144,257.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,785 : 94,408.50 = 94,408.50 : x
  2. Step 2: Convert to fraction form
    61,785/94,408.50 = 94,408.50/x
  3. Step 3: Cross multiply
    61,785x = 94,408.50 × 94,408.50
  4. Step 4: Simplify right side
    61,785x = 8,912,964,872.25
  5. Step 5: Solve for x
    x = 8,912,964,872.25/61,785
  6. Step 6: Final answer
    x = 144,257.75

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.