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Finding the Third Proportional to 127,202 and 276,272

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Solution

The third proportional to 127,202 and 276,272 is: 600,039.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,202 : 276,272 = 276,272 : x
  2. Step 2: Convert to fraction form
    127,202/276,272 = 276,272/x
  3. Step 3: Cross multiply
    127,202x = 276,272 × 276,272
  4. Step 4: Simplify right side
    127,202x = 76,326,217,984
  5. Step 5: Solve for x
    x = 76,326,217,984/127,202
  6. Step 6: Final answer
    x = 600,039.45

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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.