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Finding the Third Proportional to 127,762 and 268,768

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Solution

The third proportional to 127,762 and 268,768 is: 565,396.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,762 : 268,768 = 268,768 : x
  2. Step 2: Convert to fraction form
    127,762/268,768 = 268,768/x
  3. Step 3: Cross multiply
    127,762x = 268,768 × 268,768
  4. Step 4: Simplify right side
    127,762x = 72,236,237,824
  5. Step 5: Solve for x
    x = 72,236,237,824/127,762
  6. Step 6: Final answer
    x = 565,396.89

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.