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Finding the Third Proportional to 127,126 and 282,132

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Solution

The third proportional to 127,126 and 282,132 is: 626,138.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,126 : 282,132 = 282,132 : x
  2. Step 2: Convert to fraction form
    127,126/282,132 = 282,132/x
  3. Step 3: Cross multiply
    127,126x = 282,132 × 282,132
  4. Step 4: Simplify right side
    127,126x = 79,598,465,424
  5. Step 5: Solve for x
    x = 79,598,465,424/127,126
  6. Step 6: Final answer
    x = 626,138.36

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.