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Finding the Third Proportional to 65,664 and 95,625

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Solution

The third proportional to 65,664 and 95,625 is: 139,256.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,664 : 95,625 = 95,625 : x
  2. Step 2: Convert to fraction form
    65,664/95,625 = 95,625/x
  3. Step 3: Cross multiply
    65,664x = 95,625 × 95,625
  4. Step 4: Simplify right side
    65,664x = 9,144,140,625
  5. Step 5: Solve for x
    x = 9,144,140,625/65,664
  6. Step 6: Final answer
    x = 139,256.53

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.