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Finding the Third Proportional to 106,722.56 and 237,076.88

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Solution

The third proportional to 106,722.56 and 237,076.88 is: 526,650.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,722.56 : 237,076.88 = 237,076.88 : x
  2. Step 2: Convert to fraction form
    106,722.56/237,076.88 = 237,076.88/x
  3. Step 3: Cross multiply
    106,722.56x = 237,076.88 × 237,076.88
  4. Step 4: Simplify right side
    106,722.56x = 56,205,444,659.77
  5. Step 5: Solve for x
    x = 56,205,444,659.77/106,722.56
  6. Step 6: Final answer
    x = 526,650.07

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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.