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Finding the Third Proportional to 42,090 and 92,097

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Solution

The third proportional to 42,090 and 92,097 is: 201,517.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,090 : 92,097 = 92,097 : x
  2. Step 2: Convert to fraction form
    42,090/92,097 = 92,097/x
  3. Step 3: Cross multiply
    42,090x = 92,097 × 92,097
  4. Step 4: Simplify right side
    42,090x = 8,481,857,409
  5. Step 5: Solve for x
    x = 8,481,857,409/42,090
  6. Step 6: Final answer
    x = 201,517.16

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.