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Finding the Third Proportional to 76,518.75 and 165,503.75

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Solution

The third proportional to 76,518.75 and 165,503.75 is: 357,970.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,518.75 : 165,503.75 = 165,503.75 : x
  2. Step 2: Convert to fraction form
    76,518.75/165,503.75 = 165,503.75/x
  3. Step 3: Cross multiply
    76,518.75x = 165,503.75 × 165,503.75
  4. Step 4: Simplify right side
    76,518.75x = 27,391,491,264.06
  5. Step 5: Solve for x
    x = 27,391,491,264.06/76,518.75
  6. Step 6: Final answer
    x = 357,970.97

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.