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Finding the Third Proportional to 75,785 and 114,729

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Solution

The third proportional to 75,785 and 114,729 is: 173,685.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,785 : 114,729 = 114,729 : x
  2. Step 2: Convert to fraction form
    75,785/114,729 = 114,729/x
  3. Step 3: Cross multiply
    75,785x = 114,729 × 114,729
  4. Step 4: Simplify right side
    75,785x = 13,162,743,441
  5. Step 5: Solve for x
    x = 13,162,743,441/75,785
  6. Step 6: Final answer
    x = 173,685.34

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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.