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Finding the Third Proportional to 104,299.31 and 145,103.06

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Solution

The third proportional to 104,299.31 and 145,103.06 is: 201,869.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,299.31 : 145,103.06 = 145,103.06 : x
  2. Step 2: Convert to fraction form
    104,299.31/145,103.06 = 145,103.06/x
  3. Step 3: Cross multiply
    104,299.31x = 145,103.06 × 145,103.06
  4. Step 4: Simplify right side
    104,299.31x = 21,054,898,746.88
  5. Step 5: Solve for x
    x = 21,054,898,746.88/104,299.31
  6. Step 6: Final answer
    x = 201,869.97

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.