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Finding the Third Proportional to 122,026 and 266,132

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Solution

The third proportional to 122,026 and 266,132 is: 580,419.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,026 : 266,132 = 266,132 : x
  2. Step 2: Convert to fraction form
    122,026/266,132 = 266,132/x
  3. Step 3: Cross multiply
    122,026x = 266,132 × 266,132
  4. Step 4: Simplify right side
    122,026x = 70,826,241,424
  5. Step 5: Solve for x
    x = 70,826,241,424/122,026
  6. Step 6: Final answer
    x = 580,419.27

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.