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Finding the Third Proportional to 64,195 and 93,915

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Solution

The third proportional to 64,195 and 93,915 is: 137,394.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,195 : 93,915 = 93,915 : x
  2. Step 2: Convert to fraction form
    64,195/93,915 = 93,915/x
  3. Step 3: Cross multiply
    64,195x = 93,915 × 93,915
  4. Step 4: Simplify right side
    64,195x = 8,820,027,225
  5. Step 5: Solve for x
    x = 8,820,027,225/64,195
  6. Step 6: Final answer
    x = 137,394.30

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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.