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Finding the Third Proportional to 41,946 and 93,216

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Solution

The third proportional to 41,946 and 93,216 is: 207,152.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,946 : 93,216 = 93,216 : x
  2. Step 2: Convert to fraction form
    41,946/93,216 = 93,216/x
  3. Step 3: Cross multiply
    41,946x = 93,216 × 93,216
  4. Step 4: Simplify right side
    41,946x = 8,689,222,656
  5. Step 5: Solve for x
    x = 8,689,222,656/41,946
  6. Step 6: Final answer
    x = 207,152.59

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.