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Finding the Third Proportional to 118,896 and 179,352

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Solution

The third proportional to 118,896 and 179,352 is: 270,548.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,896 : 179,352 = 179,352 : x
  2. Step 2: Convert to fraction form
    118,896/179,352 = 179,352/x
  3. Step 3: Cross multiply
    118,896x = 179,352 × 179,352
  4. Step 4: Simplify right side
    118,896x = 32,167,139,904
  5. Step 5: Solve for x
    x = 32,167,139,904/118,896
  6. Step 6: Final answer
    x = 270,548.55

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.