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Finding the Third Proportional to 66,573 and 89,973

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Solution

The third proportional to 66,573 and 89,973 is: 121,597.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,573 : 89,973 = 89,973 : x
  2. Step 2: Convert to fraction form
    66,573/89,973 = 89,973/x
  3. Step 3: Cross multiply
    66,573x = 89,973 × 89,973
  4. Step 4: Simplify right side
    66,573x = 8,095,140,729
  5. Step 5: Solve for x
    x = 8,095,140,729/66,573
  6. Step 6: Final answer
    x = 121,597.96

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.