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Finding the Third Proportional to 65,672.06 and 104,006.06

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Solution

The third proportional to 65,672.06 and 104,006.06 is: 164,716.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,672.06 : 104,006.06 = 104,006.06 : x
  2. Step 2: Convert to fraction form
    65,672.06/104,006.06 = 104,006.06/x
  3. Step 3: Cross multiply
    65,672.06x = 104,006.06 × 104,006.06
  4. Step 4: Simplify right side
    65,672.06x = 10,817,261,036.75
  5. Step 5: Solve for x
    x = 10,817,261,036.75/65,672.06
  6. Step 6: Final answer
    x = 164,716.33

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.