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Finding the Third Proportional to 127,623 and 272,012

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Solution

The third proportional to 127,623 and 272,012 is: 579,758.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,623 : 272,012 = 272,012 : x
  2. Step 2: Convert to fraction form
    127,623/272,012 = 272,012/x
  3. Step 3: Cross multiply
    127,623x = 272,012 × 272,012
  4. Step 4: Simplify right side
    127,623x = 73,990,528,144
  5. Step 5: Solve for x
    x = 73,990,528,144/127,623
  6. Step 6: Final answer
    x = 579,758.57

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.