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Finding the Third Proportional to 76,403 and 116,801

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Solution

The third proportional to 76,403 and 116,801 is: 178,559.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,403 : 116,801 = 116,801 : x
  2. Step 2: Convert to fraction form
    76,403/116,801 = 116,801/x
  3. Step 3: Cross multiply
    76,403x = 116,801 × 116,801
  4. Step 4: Simplify right side
    76,403x = 13,642,473,601
  5. Step 5: Solve for x
    x = 13,642,473,601/76,403
  6. Step 6: Final answer
    x = 178,559.40

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.