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Finding the Third Proportional to 89,433 and 144,841.50

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Solution

The third proportional to 89,433 and 144,841.50 is: 234,578.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,433 : 144,841.50 = 144,841.50 : x
  2. Step 2: Convert to fraction form
    89,433/144,841.50 = 144,841.50/x
  3. Step 3: Cross multiply
    89,433x = 144,841.50 × 144,841.50
  4. Step 4: Simplify right side
    89,433x = 20,979,060,122.25
  5. Step 5: Solve for x
    x = 20,979,060,122.25/89,433
  6. Step 6: Final answer
    x = 234,578.51

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These problems maintain the same ratio (1.62) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.