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Finding the Third Proportional to 117,718 and 179,297

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Solution

The third proportional to 117,718 and 179,297 is: 273,088.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,718 : 179,297 = 179,297 : x
  2. Step 2: Convert to fraction form
    117,718/179,297 = 179,297/x
  3. Step 3: Cross multiply
    117,718x = 179,297 × 179,297
  4. Step 4: Simplify right side
    117,718x = 32,147,414,209
  5. Step 5: Solve for x
    x = 32,147,414,209/117,718
  6. Step 6: Final answer
    x = 273,088.35

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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.