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Finding the Third Proportional to 41,948 and 93,220

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Solution

The third proportional to 41,948 and 93,220 is: 207,160.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,948 : 93,220 = 93,220 : x
  2. Step 2: Convert to fraction form
    41,948/93,220 = 93,220/x
  3. Step 3: Cross multiply
    41,948x = 93,220 × 93,220
  4. Step 4: Simplify right side
    41,948x = 8,689,968,400
  5. Step 5: Solve for x
    x = 8,689,968,400/41,948
  6. Step 6: Final answer
    x = 207,160.49

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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.