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Finding the Third Proportional to 93,787 and 132,073

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Solution

The third proportional to 93,787 and 132,073 is: 185,988.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,787 : 132,073 = 132,073 : x
  2. Step 2: Convert to fraction form
    93,787/132,073 = 132,073/x
  3. Step 3: Cross multiply
    93,787x = 132,073 × 132,073
  4. Step 4: Simplify right side
    93,787x = 17,443,277,329
  5. Step 5: Solve for x
    x = 17,443,277,329/93,787
  6. Step 6: Final answer
    x = 185,988.22

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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.