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Finding the Third Proportional to 42,732.50 and 92,035.50

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Solution

The third proportional to 42,732.50 and 92,035.50 is: 198,222.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,732.50 : 92,035.50 = 92,035.50 : x
  2. Step 2: Convert to fraction form
    42,732.50/92,035.50 = 92,035.50/x
  3. Step 3: Cross multiply
    42,732.50x = 92,035.50 × 92,035.50
  4. Step 4: Simplify right side
    42,732.50x = 8,470,533,260.25
  5. Step 5: Solve for x
    x = 8,470,533,260.25/42,732.50
  6. Step 6: Final answer
    x = 198,222.27

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.