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Finding the Third Proportional to 40,256 and 59,153

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Solution

The third proportional to 40,256 and 59,153 is: 86,920.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,256 : 59,153 = 59,153 : x
  2. Step 2: Convert to fraction form
    40,256/59,153 = 59,153/x
  3. Step 3: Cross multiply
    40,256x = 59,153 × 59,153
  4. Step 4: Simplify right side
    40,256x = 3,499,077,409
  5. Step 5: Solve for x
    x = 3,499,077,409/40,256
  6. Step 6: Final answer
    x = 86,920.64

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.