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Finding the Third Proportional to 127,718 and 277,544

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Solution

The third proportional to 127,718 and 277,544 is: 603,130.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,718 : 277,544 = 277,544 : x
  2. Step 2: Convert to fraction form
    127,718/277,544 = 277,544/x
  3. Step 3: Cross multiply
    127,718x = 277,544 × 277,544
  4. Step 4: Simplify right side
    127,718x = 77,030,671,936
  5. Step 5: Solve for x
    x = 77,030,671,936/127,718
  6. Step 6: Final answer
    x = 603,130.90

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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.