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Finding the Third Proportional to 56,906 and 89,271

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Solution

The third proportional to 56,906 and 89,271 is: 140,043.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,906 : 89,271 = 89,271 : x
  2. Step 2: Convert to fraction form
    56,906/89,271 = 89,271/x
  3. Step 3: Cross multiply
    56,906x = 89,271 × 89,271
  4. Step 4: Simplify right side
    56,906x = 7,969,311,441
  5. Step 5: Solve for x
    x = 7,969,311,441/56,906
  6. Step 6: Final answer
    x = 140,043.43

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.