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Finding the Third Proportional to 88,138 and 125,645

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Solution

The third proportional to 88,138 and 125,645 is: 179,113.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,138 : 125,645 = 125,645 : x
  2. Step 2: Convert to fraction form
    88,138/125,645 = 125,645/x
  3. Step 3: Cross multiply
    88,138x = 125,645 × 125,645
  4. Step 4: Simplify right side
    88,138x = 15,786,666,025
  5. Step 5: Solve for x
    x = 15,786,666,025/88,138
  6. Step 6: Final answer
    x = 179,113.05

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.