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Finding the Third Proportional to 70,918 and 104,977

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Solution

The third proportional to 70,918 and 104,977 is: 155,393.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,918 : 104,977 = 104,977 : x
  2. Step 2: Convert to fraction form
    70,918/104,977 = 104,977/x
  3. Step 3: Cross multiply
    70,918x = 104,977 × 104,977
  4. Step 4: Simplify right side
    70,918x = 11,020,170,529
  5. Step 5: Solve for x
    x = 11,020,170,529/70,918
  6. Step 6: Final answer
    x = 155,393.14

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.