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Finding the Third Proportional to 76,841 and 118,669

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Solution

The third proportional to 76,841 and 118,669 is: 183,265.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,841 : 118,669 = 118,669 : x
  2. Step 2: Convert to fraction form
    76,841/118,669 = 118,669/x
  3. Step 3: Cross multiply
    76,841x = 118,669 × 118,669
  4. Step 4: Simplify right side
    76,841x = 14,082,331,561
  5. Step 5: Solve for x
    x = 14,082,331,561/76,841
  6. Step 6: Final answer
    x = 183,265.85

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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.