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Finding the Third Proportional to 64,172 and 95,728

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Solution

The third proportional to 64,172 and 95,728 is: 142,801.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,172 : 95,728 = 95,728 : x
  2. Step 2: Convert to fraction form
    64,172/95,728 = 95,728/x
  3. Step 3: Cross multiply
    64,172x = 95,728 × 95,728
  4. Step 4: Simplify right side
    64,172x = 9,163,849,984
  5. Step 5: Solve for x
    x = 9,163,849,984/64,172
  6. Step 6: Final answer
    x = 142,801.38

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.