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Finding the Third Proportional to 59,608 and 128,895

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Solution

The third proportional to 59,608 and 128,895 is: 278,719.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,608 : 128,895 = 128,895 : x
  2. Step 2: Convert to fraction form
    59,608/128,895 = 128,895/x
  3. Step 3: Cross multiply
    59,608x = 128,895 × 128,895
  4. Step 4: Simplify right side
    59,608x = 16,613,921,025
  5. Step 5: Solve for x
    x = 16,613,921,025/59,608
  6. Step 6: Final answer
    x = 278,719.65

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.