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Finding the Third Proportional to 76,842 and 118,671

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Solution

The third proportional to 76,842 and 118,671 is: 183,269.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,842 : 118,671 = 118,671 : x
  2. Step 2: Convert to fraction form
    76,842/118,671 = 118,671/x
  3. Step 3: Cross multiply
    76,842x = 118,671 × 118,671
  4. Step 4: Simplify right side
    76,842x = 14,082,806,241
  5. Step 5: Solve for x
    x = 14,082,806,241/76,842
  6. Step 6: Final answer
    x = 183,269.65

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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.