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Finding the Third Proportional to 91,635 and 134,176.50

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Solution

The third proportional to 91,635 and 134,176.50 is: 196,467.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,635 : 134,176.50 = 134,176.50 : x
  2. Step 2: Convert to fraction form
    91,635/134,176.50 = 134,176.50/x
  3. Step 3: Cross multiply
    91,635x = 134,176.50 × 134,176.50
  4. Step 4: Simplify right side
    91,635x = 18,003,333,152.25
  5. Step 5: Solve for x
    x = 18,003,333,152.25/91,635
  6. Step 6: Final answer
    x = 196,467.87

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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.