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Finding the Third Proportional to 65,088 and 104,184

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Solution

The third proportional to 65,088 and 104,184 is: 166,763.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,088 : 104,184 = 104,184 : x
  2. Step 2: Convert to fraction form
    65,088/104,184 = 104,184/x
  3. Step 3: Cross multiply
    65,088x = 104,184 × 104,184
  4. Step 4: Simplify right side
    65,088x = 10,854,305,856
  5. Step 5: Solve for x
    x = 10,854,305,856/65,088
  6. Step 6: Final answer
    x = 166,763.55

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These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.