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Finding the Third Proportional to 132,104 and 287,536

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Solution

The third proportional to 132,104 and 287,536 is: 625,847.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,104 : 287,536 = 287,536 : x
  2. Step 2: Convert to fraction form
    132,104/287,536 = 287,536/x
  3. Step 3: Cross multiply
    132,104x = 287,536 × 287,536
  4. Step 4: Simplify right side
    132,104x = 82,676,951,296
  5. Step 5: Solve for x
    x = 82,676,951,296/132,104
  6. Step 6: Final answer
    x = 625,847.45

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.