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Finding the Third Proportional to 85,412 and 127,722

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Solution

The third proportional to 85,412 and 127,722 is: 190,990.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,412 : 127,722 = 127,722 : x
  2. Step 2: Convert to fraction form
    85,412/127,722 = 127,722/x
  3. Step 3: Cross multiply
    85,412x = 127,722 × 127,722
  4. Step 4: Simplify right side
    85,412x = 16,312,909,284
  5. Step 5: Solve for x
    x = 16,312,909,284/85,412
  6. Step 6: Final answer
    x = 190,990.84

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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.