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Finding the Third Proportional to 112,826 and 165,747

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Solution

The third proportional to 112,826 and 165,747 is: 243,490.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,826 : 165,747 = 165,747 : x
  2. Step 2: Convert to fraction form
    112,826/165,747 = 165,747/x
  3. Step 3: Cross multiply
    112,826x = 165,747 × 165,747
  4. Step 4: Simplify right side
    112,826x = 27,472,068,009
  5. Step 5: Solve for x
    x = 27,472,068,009/112,826
  6. Step 6: Final answer
    x = 243,490.58

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.