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Finding the Third Proportional to 75,916 and 105,260

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Solution

The third proportional to 75,916 and 105,260 is: 145,946.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,916 : 105,260 = 105,260 : x
  2. Step 2: Convert to fraction form
    75,916/105,260 = 105,260/x
  3. Step 3: Cross multiply
    75,916x = 105,260 × 105,260
  4. Step 4: Simplify right side
    75,916x = 11,079,667,600
  5. Step 5: Solve for x
    x = 11,079,667,600/75,916
  6. Step 6: Final answer
    x = 145,946.41

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.