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Finding the Third Proportional to 41,560 and 90,046

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Solution

The third proportional to 41,560 and 90,046 is: 195,098.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,560 : 90,046 = 90,046 : x
  2. Step 2: Convert to fraction form
    41,560/90,046 = 90,046/x
  3. Step 3: Cross multiply
    41,560x = 90,046 × 90,046
  4. Step 4: Simplify right side
    41,560x = 8,108,282,116
  5. Step 5: Solve for x
    x = 8,108,282,116/41,560
  6. Step 6: Final answer
    x = 195,098.22

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.