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Finding the Third Proportional to 92,901.94 and 142,348.78

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Solution

The third proportional to 92,901.94 and 142,348.78 is: 218,113.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,901.94 : 142,348.78 = 142,348.78 : x
  2. Step 2: Convert to fraction form
    92,901.94/142,348.78 = 142,348.78/x
  3. Step 3: Cross multiply
    92,901.94x = 142,348.78 × 142,348.78
  4. Step 4: Simplify right side
    92,901.94x = 20,263,175,523.36
  5. Step 5: Solve for x
    x = 20,263,175,523.36/92,901.94
  6. Step 6: Final answer
    x = 218,113.59

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.