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Finding the Third Proportional to 61,728 and 95,156

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Solution

The third proportional to 61,728 and 95,156 is: 146,686.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,728 : 95,156 = 95,156 : x
  2. Step 2: Convert to fraction form
    61,728/95,156 = 95,156/x
  3. Step 3: Cross multiply
    61,728x = 95,156 × 95,156
  4. Step 4: Simplify right side
    61,728x = 9,054,664,336
  5. Step 5: Solve for x
    x = 9,054,664,336/61,728
  6. Step 6: Final answer
    x = 146,686.50

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.