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Finding the Third Proportional to 65,814 and 89,973

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Solution

The third proportional to 65,814 and 89,973 is: 123,000.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,814 : 89,973 = 89,973 : x
  2. Step 2: Convert to fraction form
    65,814/89,973 = 89,973/x
  3. Step 3: Cross multiply
    65,814x = 89,973 × 89,973
  4. Step 4: Simplify right side
    65,814x = 8,095,140,729
  5. Step 5: Solve for x
    x = 8,095,140,729/65,814
  6. Step 6: Final answer
    x = 123,000.28

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.