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Finding the Third Proportional to 64,027.50 and 92,501

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Solution

The third proportional to 64,027.50 and 92,501 is: 133,636.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,027.50 : 92,501 = 92,501 : x
  2. Step 2: Convert to fraction form
    64,027.50/92,501 = 92,501/x
  3. Step 3: Cross multiply
    64,027.50x = 92,501 × 92,501
  4. Step 4: Simplify right side
    64,027.50x = 8,556,435,001
  5. Step 5: Solve for x
    x = 8,556,435,001/64,027.50
  6. Step 6: Final answer
    x = 133,636.87

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.