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Finding the Third Proportional to 65,523.50 and 103,914.50

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Solution

The third proportional to 65,523.50 and 103,914.50 is: 164,799.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,523.50 : 103,914.50 = 103,914.50 : x
  2. Step 2: Convert to fraction form
    65,523.50/103,914.50 = 103,914.50/x
  3. Step 3: Cross multiply
    65,523.50x = 103,914.50 × 103,914.50
  4. Step 4: Simplify right side
    65,523.50x = 10,798,223,310.25
  5. Step 5: Solve for x
    x = 10,798,223,310.25/65,523.50
  6. Step 6: Final answer
    x = 164,799.24

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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.