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Finding the Third Proportional to 70,974 and 155,772

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Solution

The third proportional to 70,974 and 155,772 is: 341,884.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,974 : 155,772 = 155,772 : x
  2. Step 2: Convert to fraction form
    70,974/155,772 = 155,772/x
  3. Step 3: Cross multiply
    70,974x = 155,772 × 155,772
  4. Step 4: Simplify right side
    70,974x = 24,264,915,984
  5. Step 5: Solve for x
    x = 24,264,915,984/70,974
  6. Step 6: Final answer
    x = 341,884.58

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.