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Finding the Third Proportional to 41,570 and 89,094

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Solution

The third proportional to 41,570 and 89,094 is: 190,948.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,570 : 89,094 = 89,094 : x
  2. Step 2: Convert to fraction form
    41,570/89,094 = 89,094/x
  3. Step 3: Cross multiply
    41,570x = 89,094 × 89,094
  4. Step 4: Simplify right side
    41,570x = 7,937,740,836
  5. Step 5: Solve for x
    x = 7,937,740,836/41,570
  6. Step 6: Final answer
    x = 190,948.78

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.