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Finding the Third Proportional to 76,517.75 and 165,501.75

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Solution

The third proportional to 76,517.75 and 165,501.75 is: 357,967.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,517.75 : 165,501.75 = 165,501.75 : x
  2. Step 2: Convert to fraction form
    76,517.75/165,501.75 = 165,501.75/x
  3. Step 3: Cross multiply
    76,517.75x = 165,501.75 × 165,501.75
  4. Step 4: Simplify right side
    76,517.75x = 27,390,829,253.06
  5. Step 5: Solve for x
    x = 27,390,829,253.06/76,517.75
  6. Step 6: Final answer
    x = 357,967.00

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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.