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Finding the Third Proportional to 85,270 and 119,274

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Solution

The third proportional to 85,270 and 119,274 is: 166,838.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,270 : 119,274 = 119,274 : x
  2. Step 2: Convert to fraction form
    85,270/119,274 = 119,274/x
  3. Step 3: Cross multiply
    85,270x = 119,274 × 119,274
  4. Step 4: Simplify right side
    85,270x = 14,226,287,076
  5. Step 5: Solve for x
    x = 14,226,287,076/85,270
  6. Step 6: Final answer
    x = 166,838.13

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.