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Finding the Third Proportional to 85,118 and 127,460

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Solution

The third proportional to 85,118 and 127,460 is: 190,865.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,118 : 127,460 = 127,460 : x
  2. Step 2: Convert to fraction form
    85,118/127,460 = 127,460/x
  3. Step 3: Cross multiply
    85,118x = 127,460 × 127,460
  4. Step 4: Simplify right side
    85,118x = 16,246,051,600
  5. Step 5: Solve for x
    x = 16,246,051,600/85,118
  6. Step 6: Final answer
    x = 190,865.05

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.