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Finding the Third Proportional to 65,684.25 and 101,916

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Solution

The third proportional to 65,684.25 and 101,916 is: 158,133.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,684.25 : 101,916 = 101,916 : x
  2. Step 2: Convert to fraction form
    65,684.25/101,916 = 101,916/x
  3. Step 3: Cross multiply
    65,684.25x = 101,916 × 101,916
  4. Step 4: Simplify right side
    65,684.25x = 10,386,871,056
  5. Step 5: Solve for x
    x = 10,386,871,056/65,684.25
  6. Step 6: Final answer
    x = 158,133.36

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.