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Finding the Third Proportional to 127,105 and 271,658

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Solution

The third proportional to 127,105 and 271,658 is: 580,607.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,105 : 271,658 = 271,658 : x
  2. Step 2: Convert to fraction form
    127,105/271,658 = 271,658/x
  3. Step 3: Cross multiply
    127,105x = 271,658 × 271,658
  4. Step 4: Simplify right side
    127,105x = 73,798,068,964
  5. Step 5: Solve for x
    x = 73,798,068,964/127,105
  6. Step 6: Final answer
    x = 580,607.13

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.