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Finding the Third Proportional to 127,056 and 276,432

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Solution

The third proportional to 127,056 and 276,432 is: 601,424.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,056 : 276,432 = 276,432 : x
  2. Step 2: Convert to fraction form
    127,056/276,432 = 276,432/x
  3. Step 3: Cross multiply
    127,056x = 276,432 × 276,432
  4. Step 4: Simplify right side
    127,056x = 76,414,650,624
  5. Step 5: Solve for x
    x = 76,414,650,624/127,056
  6. Step 6: Final answer
    x = 601,424.97

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.