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Finding the Third Proportional to 117,889 and 180,276

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Solution

The third proportional to 117,889 and 180,276 is: 275,678.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,889 : 180,276 = 180,276 : x
  2. Step 2: Convert to fraction form
    117,889/180,276 = 180,276/x
  3. Step 3: Cross multiply
    117,889x = 180,276 × 180,276
  4. Step 4: Simplify right side
    117,889x = 32,499,436,176
  5. Step 5: Solve for x
    x = 32,499,436,176/117,889
  6. Step 6: Final answer
    x = 275,678.28

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.