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Finding the Third Proportional to 127,010 and 284,092

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Solution

The third proportional to 127,010 and 284,092 is: 635,448.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,010 : 284,092 = 284,092 : x
  2. Step 2: Convert to fraction form
    127,010/284,092 = 284,092/x
  3. Step 3: Cross multiply
    127,010x = 284,092 × 284,092
  4. Step 4: Simplify right side
    127,010x = 80,708,264,464
  5. Step 5: Solve for x
    x = 80,708,264,464/127,010
  6. Step 6: Final answer
    x = 635,448.11

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Why These Related Problems?

These problems maintain the same ratio (2.24) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.