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Finding the Third Proportional to 84,148 and 180,118

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Solution

The third proportional to 84,148 and 180,118 is: 385,540.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,148 : 180,118 = 180,118 : x
  2. Step 2: Convert to fraction form
    84,148/180,118 = 180,118/x
  3. Step 3: Cross multiply
    84,148x = 180,118 × 180,118
  4. Step 4: Simplify right side
    84,148x = 32,442,493,924
  5. Step 5: Solve for x
    x = 32,442,493,924/84,148
  6. Step 6: Final answer
    x = 385,540.88

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.