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Finding the Third Proportional to 70,486 and 103,083

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Solution

The third proportional to 70,486 and 103,083 is: 150,754.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,486 : 103,083 = 103,083 : x
  2. Step 2: Convert to fraction form
    70,486/103,083 = 103,083/x
  3. Step 3: Cross multiply
    70,486x = 103,083 × 103,083
  4. Step 4: Simplify right side
    70,486x = 10,626,104,889
  5. Step 5: Solve for x
    x = 10,626,104,889/70,486
  6. Step 6: Final answer
    x = 150,754.83

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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.