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Finding the Third Proportional to 41,301 and 90,090

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Solution

The third proportional to 41,301 and 90,090 is: 196,513.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,301 : 90,090 = 90,090 : x
  2. Step 2: Convert to fraction form
    41,301/90,090 = 90,090/x
  3. Step 3: Cross multiply
    41,301x = 90,090 × 90,090
  4. Step 4: Simplify right side
    41,301x = 8,116,208,100
  5. Step 5: Solve for x
    x = 8,116,208,100/41,301
  6. Step 6: Final answer
    x = 196,513.60

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.