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Finding the Third Proportional to 42,094 and 92,490

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Solution

The third proportional to 42,094 and 92,490 is: 203,221.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,094 : 92,490 = 92,490 : x
  2. Step 2: Convert to fraction form
    42,094/92,490 = 92,490/x
  3. Step 3: Cross multiply
    42,094x = 92,490 × 92,490
  4. Step 4: Simplify right side
    42,094x = 8,554,400,100
  5. Step 5: Solve for x
    x = 8,554,400,100/42,094
  6. Step 6: Final answer
    x = 203,221.36

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.