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Finding the Third Proportional to 66,533 and 105,917.50

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Solution

The third proportional to 66,533 and 105,917.50 is: 168,615.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,533 : 105,917.50 = 105,917.50 : x
  2. Step 2: Convert to fraction form
    66,533/105,917.50 = 105,917.50/x
  3. Step 3: Cross multiply
    66,533x = 105,917.50 × 105,917.50
  4. Step 4: Simplify right side
    66,533x = 11,218,516,806.25
  5. Step 5: Solve for x
    x = 11,218,516,806.25/66,533
  6. Step 6: Final answer
    x = 168,615.83

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