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Finding the Third Proportional to 41,715 and 91,323

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Solution

The third proportional to 41,715 and 91,323 is: 199,925.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,715 : 91,323 = 91,323 : x
  2. Step 2: Convert to fraction form
    41,715/91,323 = 91,323/x
  3. Step 3: Cross multiply
    41,715x = 91,323 × 91,323
  4. Step 4: Simplify right side
    41,715x = 8,339,890,329
  5. Step 5: Solve for x
    x = 8,339,890,329/41,715
  6. Step 6: Final answer
    x = 199,925.45

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.