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Finding the Third Proportional to 42,072.84 and 90,056.91

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Solution

The third proportional to 42,072.84 and 90,056.91 is: 192,766.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,072.84 : 90,056.91 = 90,056.91 : x
  2. Step 2: Convert to fraction form
    42,072.84/90,056.91 = 90,056.91/x
  3. Step 3: Cross multiply
    42,072.84x = 90,056.91 × 90,056.91
  4. Step 4: Simplify right side
    42,072.84x = 8,110,246,363.32
  5. Step 5: Solve for x
    x = 8,110,246,363.32/42,072.84
  6. Step 6: Final answer
    x = 192,766.77

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.