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Finding the Third Proportional to 103,007 and 132,073

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Solution

The third proportional to 103,007 and 132,073 is: 169,340.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,007 : 132,073 = 132,073 : x
  2. Step 2: Convert to fraction form
    103,007/132,073 = 132,073/x
  3. Step 3: Cross multiply
    103,007x = 132,073 × 132,073
  4. Step 4: Simplify right side
    103,007x = 17,443,277,329
  5. Step 5: Solve for x
    x = 17,443,277,329/103,007
  6. Step 6: Final answer
    x = 169,340.70

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.