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Finding the Third Proportional to 65,441.25 and 103,791

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Solution

The third proportional to 65,441.25 and 103,791 is: 164,614.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,441.25 : 103,791 = 103,791 : x
  2. Step 2: Convert to fraction form
    65,441.25/103,791 = 103,791/x
  3. Step 3: Cross multiply
    65,441.25x = 103,791 × 103,791
  4. Step 4: Simplify right side
    65,441.25x = 10,772,571,681
  5. Step 5: Solve for x
    x = 10,772,571,681/65,441.25
  6. Step 6: Final answer
    x = 164,614.39

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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.