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Finding the Third Proportional to 65,186 and 103,610.50

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Solution

The third proportional to 65,186 and 103,610.50 is: 164,684.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,186 : 103,610.50 = 103,610.50 : x
  2. Step 2: Convert to fraction form
    65,186/103,610.50 = 103,610.50/x
  3. Step 3: Cross multiply
    65,186x = 103,610.50 × 103,610.50
  4. Step 4: Simplify right side
    65,186x = 10,735,135,710.25
  5. Step 5: Solve for x
    x = 10,735,135,710.25/65,186
  6. Step 6: Final answer
    x = 164,684.68

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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.