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Finding the Third Proportional to 106,437 and 177,387.75

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Solution

The third proportional to 106,437 and 177,387.75 is: 295,634.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,437 : 177,387.75 = 177,387.75 : x
  2. Step 2: Convert to fraction form
    106,437/177,387.75 = 177,387.75/x
  3. Step 3: Cross multiply
    106,437x = 177,387.75 × 177,387.75
  4. Step 4: Simplify right side
    106,437x = 31,466,413,850.06
  5. Step 5: Solve for x
    x = 31,466,413,850.06/106,437
  6. Step 6: Final answer
    x = 295,634.17

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.