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Finding the Third Proportional to 62,256 and 89,494

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Solution

The third proportional to 62,256 and 89,494 is: 128,649.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,256 : 89,494 = 89,494 : x
  2. Step 2: Convert to fraction form
    62,256/89,494 = 89,494/x
  3. Step 3: Cross multiply
    62,256x = 89,494 × 89,494
  4. Step 4: Simplify right side
    62,256x = 8,009,176,036
  5. Step 5: Solve for x
    x = 8,009,176,036/62,256
  6. Step 6: Final answer
    x = 128,649.06

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.