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Finding the Third Proportional to 127,056 and 275,984

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Solution

The third proportional to 127,056 and 275,984 is: 599,477.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,056 : 275,984 = 275,984 : x
  2. Step 2: Convert to fraction form
    127,056/275,984 = 275,984/x
  3. Step 3: Cross multiply
    127,056x = 275,984 × 275,984
  4. Step 4: Simplify right side
    127,056x = 76,167,168,256
  5. Step 5: Solve for x
    x = 76,167,168,256/127,056
  6. Step 6: Final answer
    x = 599,477.15

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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.