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Finding the Third Proportional to 65,458.50 and 103,817.25

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Solution

The third proportional to 65,458.50 and 103,817.25 is: 164,654.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,458.50 : 103,817.25 = 103,817.25 : x
  2. Step 2: Convert to fraction form
    65,458.50/103,817.25 = 103,817.25/x
  3. Step 3: Cross multiply
    65,458.50x = 103,817.25 × 103,817.25
  4. Step 4: Simplify right side
    65,458.50x = 10,778,021,397.56
  5. Step 5: Solve for x
    x = 10,778,021,397.56/65,458.50
  6. Step 6: Final answer
    x = 164,654.27

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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.