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Finding the Third Proportional to 80,582 and 113,277

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Solution

The third proportional to 80,582 and 113,277 is: 159,237.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,582 : 113,277 = 113,277 : x
  2. Step 2: Convert to fraction form
    80,582/113,277 = 113,277/x
  3. Step 3: Cross multiply
    80,582x = 113,277 × 113,277
  4. Step 4: Simplify right side
    80,582x = 12,831,678,729
  5. Step 5: Solve for x
    x = 12,831,678,729/80,582
  6. Step 6: Final answer
    x = 159,237.53

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.