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Finding the Third Proportional to 57,252.50 and 86,505

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Solution

The third proportional to 57,252.50 and 86,505 is: 130,703.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,252.50 : 86,505 = 86,505 : x
  2. Step 2: Convert to fraction form
    57,252.50/86,505 = 86,505/x
  3. Step 3: Cross multiply
    57,252.50x = 86,505 × 86,505
  4. Step 4: Simplify right side
    57,252.50x = 7,483,115,025
  5. Step 5: Solve for x
    x = 7,483,115,025/57,252.50
  6. Step 6: Final answer
    x = 130,703.73

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.