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Finding the Third Proportional to 74,826 and 115,006

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Solution

The third proportional to 74,826 and 115,006 is: 176,761.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,826 : 115,006 = 115,006 : x
  2. Step 2: Convert to fraction form
    74,826/115,006 = 115,006/x
  3. Step 3: Cross multiply
    74,826x = 115,006 × 115,006
  4. Step 4: Simplify right side
    74,826x = 13,226,380,036
  5. Step 5: Solve for x
    x = 13,226,380,036/74,826
  6. Step 6: Final answer
    x = 176,761.82

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.