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Finding the Third Proportional to 127,490 and 277,092

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Solution

The third proportional to 127,490 and 277,092 is: 602,243.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,490 : 277,092 = 277,092 : x
  2. Step 2: Convert to fraction form
    127,490/277,092 = 277,092/x
  3. Step 3: Cross multiply
    127,490x = 277,092 × 277,092
  4. Step 4: Simplify right side
    127,490x = 76,779,976,464
  5. Step 5: Solve for x
    x = 76,779,976,464/127,490
  6. Step 6: Final answer
    x = 602,243.13

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.