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Finding the Third Proportional to 132,102 and 204,633

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Solution

The third proportional to 132,102 and 204,633 is: 316,987.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,102 : 204,633 = 204,633 : x
  2. Step 2: Convert to fraction form
    132,102/204,633 = 204,633/x
  3. Step 3: Cross multiply
    132,102x = 204,633 × 204,633
  4. Step 4: Simplify right side
    132,102x = 41,874,664,689
  5. Step 5: Solve for x
    x = 41,874,664,689/132,102
  6. Step 6: Final answer
    x = 316,987.36

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.