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Finding the Third Proportional to 92,274.19 and 144,559.69

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Solution

The third proportional to 92,274.19 and 144,559.69 is: 226,471.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,274.19 : 144,559.69 = 144,559.69 : x
  2. Step 2: Convert to fraction form
    92,274.19/144,559.69 = 144,559.69/x
  3. Step 3: Cross multiply
    92,274.19x = 144,559.69 × 144,559.69
  4. Step 4: Simplify right side
    92,274.19x = 20,897,503,250.10
  5. Step 5: Solve for x
    x = 20,897,503,250.10/92,274.19
  6. Step 6: Final answer
    x = 226,471.82

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.