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Finding the Third Proportional to 65,508.09 and 103,896.19

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Solution

The third proportional to 65,508.09 and 103,896.19 is: 164,779.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,508.09 : 103,896.19 = 103,896.19 : x
  2. Step 2: Convert to fraction form
    65,508.09/103,896.19 = 103,896.19/x
  3. Step 3: Cross multiply
    65,508.09x = 103,896.19 × 103,896.19
  4. Step 4: Simplify right side
    65,508.09x = 10,794,417,777.04
  5. Step 5: Solve for x
    x = 10,794,417,777.04/65,508.09
  6. Step 6: Final answer
    x = 164,779.91

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.