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Finding the Third Proportional to 58,221.50 and 90,177

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Solution

The third proportional to 58,221.50 and 90,177 is: 139,671.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,221.50 : 90,177 = 90,177 : x
  2. Step 2: Convert to fraction form
    58,221.50/90,177 = 90,177/x
  3. Step 3: Cross multiply
    58,221.50x = 90,177 × 90,177
  4. Step 4: Simplify right side
    58,221.50x = 8,131,891,329
  5. Step 5: Solve for x
    x = 8,131,891,329/58,221.50
  6. Step 6: Final answer
    x = 139,671.62

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.