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Finding the Third Proportional to 41,972 and 93,264

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Solution

The third proportional to 41,972 and 93,264 is: 207,237.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,972 : 93,264 = 93,264 : x
  2. Step 2: Convert to fraction form
    41,972/93,264 = 93,264/x
  3. Step 3: Cross multiply
    41,972x = 93,264 × 93,264
  4. Step 4: Simplify right side
    41,972x = 8,698,173,696
  5. Step 5: Solve for x
    x = 8,698,173,696/41,972
  6. Step 6: Final answer
    x = 207,237.53

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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.