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Finding the Third Proportional to 122,027.77 and 265,044.89

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Solution

The third proportional to 122,027.77 and 265,044.89 is: 575,678.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,027.77 : 265,044.89 = 265,044.89 : x
  2. Step 2: Convert to fraction form
    122,027.77/265,044.89 = 265,044.89/x
  3. Step 3: Cross multiply
    122,027.77x = 265,044.89 × 265,044.89
  4. Step 4: Simplify right side
    122,027.77x = 70,248,795,599.42
  5. Step 5: Solve for x
    x = 70,248,795,599.42/122,027.77
  6. Step 6: Final answer
    x = 575,678.78

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.