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Finding the Third Proportional to 65,338 and 95,485

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Solution

The third proportional to 65,338 and 95,485 is: 139,541.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,338 : 95,485 = 95,485 : x
  2. Step 2: Convert to fraction form
    65,338/95,485 = 95,485/x
  3. Step 3: Cross multiply
    65,338x = 95,485 × 95,485
  4. Step 4: Simplify right side
    65,338x = 9,117,385,225
  5. Step 5: Solve for x
    x = 9,117,385,225/65,338
  6. Step 6: Final answer
    x = 139,541.85

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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.