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Finding the Third Proportional to 88,728 and 132,774

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Solution

The third proportional to 88,728 and 132,774 is: 198,685.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,728 : 132,774 = 132,774 : x
  2. Step 2: Convert to fraction form
    88,728/132,774 = 132,774/x
  3. Step 3: Cross multiply
    88,728x = 132,774 × 132,774
  4. Step 4: Simplify right side
    88,728x = 17,628,935,076
  5. Step 5: Solve for x
    x = 17,628,935,076/88,728
  6. Step 6: Final answer
    x = 198,685.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.