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Finding the Third Proportional to 42,468 and 89,064

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Solution

The third proportional to 42,468 and 89,064 is: 186,785.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,468 : 89,064 = 89,064 : x
  2. Step 2: Convert to fraction form
    42,468/89,064 = 89,064/x
  3. Step 3: Cross multiply
    42,468x = 89,064 × 89,064
  4. Step 4: Simplify right side
    42,468x = 7,932,396,096
  5. Step 5: Solve for x
    x = 7,932,396,096/42,468
  6. Step 6: Final answer
    x = 186,785.25

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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.