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Finding the Third Proportional to 114,953 and 179,418

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Solution

The third proportional to 114,953 and 179,418 is: 280,034.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,953 : 179,418 = 179,418 : x
  2. Step 2: Convert to fraction form
    114,953/179,418 = 179,418/x
  3. Step 3: Cross multiply
    114,953x = 179,418 × 179,418
  4. Step 4: Simplify right side
    114,953x = 32,190,818,724
  5. Step 5: Solve for x
    x = 32,190,818,724/114,953
  6. Step 6: Final answer
    x = 280,034.61

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.