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Finding the Third Proportional to 41,726.81 and 86,369.63

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Solution

The third proportional to 41,726.81 and 86,369.63 is: 178,775.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,726.81 : 86,369.63 = 86,369.63 : x
  2. Step 2: Convert to fraction form
    41,726.81/86,369.63 = 86,369.63/x
  3. Step 3: Cross multiply
    41,726.81x = 86,369.63 × 86,369.63
  4. Step 4: Simplify right side
    41,726.81x = 7,459,712,122.64
  5. Step 5: Solve for x
    x = 7,459,712,122.64/41,726.81
  6. Step 6: Final answer
    x = 178,775.03

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These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.