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Finding the Third Proportional to 85,227 and 127,354.50

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Solution

The third proportional to 85,227 and 127,354.50 is: 190,305.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,227 : 127,354.50 = 127,354.50 : x
  2. Step 2: Convert to fraction form
    85,227/127,354.50 = 127,354.50/x
  3. Step 3: Cross multiply
    85,227x = 127,354.50 × 127,354.50
  4. Step 4: Simplify right side
    85,227x = 16,219,168,670.25
  5. Step 5: Solve for x
    x = 16,219,168,670.25/85,227
  6. Step 6: Final answer
    x = 190,305.52

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.