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Finding the Third Proportional to 70,945.88 and 106,940.25

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Solution

The third proportional to 70,945.88 and 106,940.25 is: 161,196.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,945.88 : 106,940.25 = 106,940.25 : x
  2. Step 2: Convert to fraction form
    70,945.88/106,940.25 = 106,940.25/x
  3. Step 3: Cross multiply
    70,945.88x = 106,940.25 × 106,940.25
  4. Step 4: Simplify right side
    70,945.88x = 11,436,217,070.06
  5. Step 5: Solve for x
    x = 11,436,217,070.06/70,945.88
  6. Step 6: Final answer
    x = 161,196.36

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.