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Finding the Third Proportional to 122,884 and 186,758

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Solution

The third proportional to 122,884 and 186,758 is: 283,833.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,884 : 186,758 = 186,758 : x
  2. Step 2: Convert to fraction form
    122,884/186,758 = 186,758/x
  3. Step 3: Cross multiply
    122,884x = 186,758 × 186,758
  4. Step 4: Simplify right side
    122,884x = 34,878,550,564
  5. Step 5: Solve for x
    x = 34,878,550,564/122,884
  6. Step 6: Final answer
    x = 283,833.13

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.