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Finding the Third Proportional to 64,721 and 86,025

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Solution

The third proportional to 64,721 and 86,025 is: 114,341.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,721 : 86,025 = 86,025 : x
  2. Step 2: Convert to fraction form
    64,721/86,025 = 86,025/x
  3. Step 3: Cross multiply
    64,721x = 86,025 × 86,025
  4. Step 4: Simplify right side
    64,721x = 7,400,300,625
  5. Step 5: Solve for x
    x = 7,400,300,625/64,721
  6. Step 6: Final answer
    x = 114,341.57

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.