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Finding the Third Proportional to 70,826 and 103,687

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Solution

The third proportional to 70,826 and 103,687 is: 151,794.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,826 : 103,687 = 103,687 : x
  2. Step 2: Convert to fraction form
    70,826/103,687 = 103,687/x
  3. Step 3: Cross multiply
    70,826x = 103,687 × 103,687
  4. Step 4: Simplify right side
    70,826x = 10,750,993,969
  5. Step 5: Solve for x
    x = 10,750,993,969/70,826
  6. Step 6: Final answer
    x = 151,794.45

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.