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Finding the Third Proportional to 41,968 and 93,260

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Solution

The third proportional to 41,968 and 93,260 is: 207,239.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,968 : 93,260 = 93,260 : x
  2. Step 2: Convert to fraction form
    41,968/93,260 = 93,260/x
  3. Step 3: Cross multiply
    41,968x = 93,260 × 93,260
  4. Step 4: Simplify right side
    41,968x = 8,697,427,600
  5. Step 5: Solve for x
    x = 8,697,427,600/41,968
  6. Step 6: Final answer
    x = 207,239.51

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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.