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Finding the Third Proportional to 42,906 and 89,916

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Solution

The third proportional to 42,906 and 89,916 is: 188,432.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,906 : 89,916 = 89,916 : x
  2. Step 2: Convert to fraction form
    42,906/89,916 = 89,916/x
  3. Step 3: Cross multiply
    42,906x = 89,916 × 89,916
  4. Step 4: Simplify right side
    42,906x = 8,084,887,056
  5. Step 5: Solve for x
    x = 8,084,887,056/42,906
  6. Step 6: Final answer
    x = 188,432.55

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.