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Finding the Third Proportional to 75,144.38 and 105,060.38

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Solution

The third proportional to 75,144.38 and 105,060.38 is: 146,886.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,144.38 : 105,060.38 = 105,060.38 : x
  2. Step 2: Convert to fraction form
    75,144.38/105,060.38 = 105,060.38/x
  3. Step 3: Cross multiply
    75,144.38x = 105,060.38 × 105,060.38
  4. Step 4: Simplify right side
    75,144.38x = 11,037,682,395.14
  5. Step 5: Solve for x
    x = 11,037,682,395.14/75,144.38
  6. Step 6: Final answer
    x = 146,886.34

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.