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Finding the Third Proportional to 59,004 and 90,256

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Solution

The third proportional to 59,004 and 90,256 is: 138,060.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,004 : 90,256 = 90,256 : x
  2. Step 2: Convert to fraction form
    59,004/90,256 = 90,256/x
  3. Step 3: Cross multiply
    59,004x = 90,256 × 90,256
  4. Step 4: Simplify right side
    59,004x = 8,146,145,536
  5. Step 5: Solve for x
    x = 8,146,145,536/59,004
  6. Step 6: Final answer
    x = 138,060.90

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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.