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Finding the Third Proportional to 76,785 and 118,458

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Solution

The third proportional to 76,785 and 118,458 is: 182,747.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,785 : 118,458 = 118,458 : x
  2. Step 2: Convert to fraction form
    76,785/118,458 = 118,458/x
  3. Step 3: Cross multiply
    76,785x = 118,458 × 118,458
  4. Step 4: Simplify right side
    76,785x = 14,032,297,764
  5. Step 5: Solve for x
    x = 14,032,297,764/76,785
  6. Step 6: Final answer
    x = 182,747.90

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.