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Finding the Third Proportional to 65,488.50 and 103,866.75

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Solution

The third proportional to 65,488.50 and 103,866.75 is: 164,735.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,488.50 : 103,866.75 = 103,866.75 : x
  2. Step 2: Convert to fraction form
    65,488.50/103,866.75 = 103,866.75/x
  3. Step 3: Cross multiply
    65,488.50x = 103,866.75 × 103,866.75
  4. Step 4: Simplify right side
    65,488.50x = 10,788,301,755.56
  5. Step 5: Solve for x
    x = 10,788,301,755.56/65,488.50
  6. Step 6: Final answer
    x = 164,735.82

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.