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Finding the Third Proportional to 127,131 and 271,146

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Solution

The third proportional to 127,131 and 271,146 is: 578,302.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,131 : 271,146 = 271,146 : x
  2. Step 2: Convert to fraction form
    127,131/271,146 = 271,146/x
  3. Step 3: Cross multiply
    127,131x = 271,146 × 271,146
  4. Step 4: Simplify right side
    127,131x = 73,520,153,316
  5. Step 5: Solve for x
    x = 73,520,153,316/127,131
  6. Step 6: Final answer
    x = 578,302.33

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.