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Finding the Third Proportional to 65,022 and 91,323

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Solution

The third proportional to 65,022 and 91,323 is: 128,262.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,022 : 91,323 = 91,323 : x
  2. Step 2: Convert to fraction form
    65,022/91,323 = 91,323/x
  3. Step 3: Cross multiply
    65,022x = 91,323 × 91,323
  4. Step 4: Simplify right side
    65,022x = 8,339,890,329
  5. Step 5: Solve for x
    x = 8,339,890,329/65,022
  6. Step 6: Final answer
    x = 128,262.59

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.