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Finding the Third Proportional to 127,734 and 271,032

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Solution

The third proportional to 127,734 and 271,032 is: 575,088.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,734 : 271,032 = 271,032 : x
  2. Step 2: Convert to fraction form
    127,734/271,032 = 271,032/x
  3. Step 3: Cross multiply
    127,734x = 271,032 × 271,032
  4. Step 4: Simplify right side
    127,734x = 73,458,345,024
  5. Step 5: Solve for x
    x = 73,458,345,024/127,734
  6. Step 6: Final answer
    x = 575,088.43

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.