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Finding the Third Proportional to 107,108.58 and 253,759.08

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Solution

The third proportional to 107,108.58 and 253,759.08 is: 601,199.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,108.58 : 253,759.08 = 253,759.08 : x
  2. Step 2: Convert to fraction form
    107,108.58/253,759.08 = 253,759.08/x
  3. Step 3: Cross multiply
    107,108.58x = 253,759.08 × 253,759.08
  4. Step 4: Simplify right side
    107,108.58x = 64,393,669,730.85
  5. Step 5: Solve for x
    x = 64,393,669,730.85/107,108.58
  6. Step 6: Final answer
    x = 601,199.93

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Why These Related Problems?

These problems maintain the same ratio (2.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.