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Finding the Third Proportional to 56,865 and 89,003

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Solution

The third proportional to 56,865 and 89,003 is: 139,304.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,865 : 89,003 = 89,003 : x
  2. Step 2: Convert to fraction form
    56,865/89,003 = 89,003/x
  3. Step 3: Cross multiply
    56,865x = 89,003 × 89,003
  4. Step 4: Simplify right side
    56,865x = 7,921,534,009
  5. Step 5: Solve for x
    x = 7,921,534,009/56,865
  6. Step 6: Final answer
    x = 139,304.21

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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.