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Finding the Third Proportional to 88,080 and 125,505

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Solution

The third proportional to 88,080 and 125,505 is: 178,831.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,080 : 125,505 = 125,505 : x
  2. Step 2: Convert to fraction form
    88,080/125,505 = 125,505/x
  3. Step 3: Cross multiply
    88,080x = 125,505 × 125,505
  4. Step 4: Simplify right side
    88,080x = 15,751,505,025
  5. Step 5: Solve for x
    x = 15,751,505,025/88,080
  6. Step 6: Final answer
    x = 178,831.80

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.