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Finding the Third Proportional to 100,773.75 and 145,676.06

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Solution

The third proportional to 100,773.75 and 145,676.06 is: 210,585.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,773.75 : 145,676.06 = 145,676.06 : x
  2. Step 2: Convert to fraction form
    100,773.75/145,676.06 = 145,676.06/x
  3. Step 3: Cross multiply
    100,773.75x = 145,676.06 × 145,676.06
  4. Step 4: Simplify right side
    100,773.75x = 21,221,515,185.50
  5. Step 5: Solve for x
    x = 21,221,515,185.50/100,773.75
  6. Step 6: Final answer
    x = 210,585.74

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.