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Finding the Third Proportional to 66,806 and 103,584

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Solution

The third proportional to 66,806 and 103,584 is: 160,609.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,806 : 103,584 = 103,584 : x
  2. Step 2: Convert to fraction form
    66,806/103,584 = 103,584/x
  3. Step 3: Cross multiply
    66,806x = 103,584 × 103,584
  4. Step 4: Simplify right side
    66,806x = 10,729,645,056
  5. Step 5: Solve for x
    x = 10,729,645,056/66,806
  6. Step 6: Final answer
    x = 160,609.00

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.