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Finding the Third Proportional to 41,784 and 91,248

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Solution

The third proportional to 41,784 and 91,248 is: 199,267.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,784 : 91,248 = 91,248 : x
  2. Step 2: Convert to fraction form
    41,784/91,248 = 91,248/x
  3. Step 3: Cross multiply
    41,784x = 91,248 × 91,248
  4. Step 4: Simplify right side
    41,784x = 8,326,197,504
  5. Step 5: Solve for x
    x = 8,326,197,504/41,784
  6. Step 6: Final answer
    x = 199,267.60

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.