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Finding the Third Proportional to 66,469 and 94,807

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Solution

The third proportional to 66,469 and 94,807 is: 135,226.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,469 : 94,807 = 94,807 : x
  2. Step 2: Convert to fraction form
    66,469/94,807 = 94,807/x
  3. Step 3: Cross multiply
    66,469x = 94,807 × 94,807
  4. Step 4: Simplify right side
    66,469x = 8,988,367,249
  5. Step 5: Solve for x
    x = 8,988,367,249/66,469
  6. Step 6: Final answer
    x = 135,226.46

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.