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Finding the Third Proportional to 65,650.50 and 97,089.75

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Solution

The third proportional to 65,650.50 and 97,089.75 is: 143,584.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,650.50 : 97,089.75 = 97,089.75 : x
  2. Step 2: Convert to fraction form
    65,650.50/97,089.75 = 97,089.75/x
  3. Step 3: Cross multiply
    65,650.50x = 97,089.75 × 97,089.75
  4. Step 4: Simplify right side
    65,650.50x = 9,426,419,555.06
  5. Step 5: Solve for x
    x = 9,426,419,555.06/65,650.50
  6. Step 6: Final answer
    x = 143,584.89

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.