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Finding the Third Proportional to 59,000 and 90,296

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Solution

The third proportional to 59,000 and 90,296 is: 138,192.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,000 : 90,296 = 90,296 : x
  2. Step 2: Convert to fraction form
    59,000/90,296 = 90,296/x
  3. Step 3: Cross multiply
    59,000x = 90,296 × 90,296
  4. Step 4: Simplify right side
    59,000x = 8,153,367,616
  5. Step 5: Solve for x
    x = 8,153,367,616/59,000
  6. Step 6: Final answer
    x = 138,192.67

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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.