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Finding the Third Proportional to 53,526.75 and 80,289.75

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Solution

The third proportional to 53,526.75 and 80,289.75 is: 120,434.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,526.75 : 80,289.75 = 80,289.75 : x
  2. Step 2: Convert to fraction form
    53,526.75/80,289.75 = 80,289.75/x
  3. Step 3: Cross multiply
    53,526.75x = 80,289.75 × 80,289.75
  4. Step 4: Simplify right side
    53,526.75x = 6,446,443,955.06
  5. Step 5: Solve for x
    x = 6,446,443,955.06/53,526.75
  6. Step 6: Final answer
    x = 120,434.06

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.