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Finding the Third Proportional to 41,122.13 and 89,681.06

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Solution

The third proportional to 41,122.13 and 89,681.06 is: 195,580.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,122.13 : 89,681.06 = 89,681.06 : x
  2. Step 2: Convert to fraction form
    41,122.13/89,681.06 = 89,681.06/x
  3. Step 3: Cross multiply
    41,122.13x = 89,681.06 × 89,681.06
  4. Step 4: Simplify right side
    41,122.13x = 8,042,692,971.13
  5. Step 5: Solve for x
    x = 8,042,692,971.13/41,122.13
  6. Step 6: Final answer
    x = 195,580.68

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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.