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Finding the Third Proportional to 127,575 and 271,279.13

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Solution

The third proportional to 127,575 and 271,279.13 is: 576,855.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,575 : 271,279.13 = 271,279.13 : x
  2. Step 2: Convert to fraction form
    127,575/271,279.13 = 271,279.13/x
  3. Step 3: Cross multiply
    127,575x = 271,279.13 × 271,279.13
  4. Step 4: Simplify right side
    127,575x = 73,592,363,660.77
  5. Step 5: Solve for x
    x = 73,592,363,660.77/127,575
  6. Step 6: Final answer
    x = 576,855.68

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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.