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Finding the Third Proportional to 84,366 and 125,253

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Solution

The third proportional to 84,366 and 125,253 is: 185,955.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,366 : 125,253 = 125,253 : x
  2. Step 2: Convert to fraction form
    84,366/125,253 = 125,253/x
  3. Step 3: Cross multiply
    84,366x = 125,253 × 125,253
  4. Step 4: Simplify right side
    84,366x = 15,688,314,009
  5. Step 5: Solve for x
    x = 15,688,314,009/84,366
  6. Step 6: Final answer
    x = 185,955.41

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.