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Finding the Third Proportional to 89,762 and 139,383

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Solution

The third proportional to 89,762 and 139,383 is: 216,434.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,762 : 139,383 = 139,383 : x
  2. Step 2: Convert to fraction form
    89,762/139,383 = 139,383/x
  3. Step 3: Cross multiply
    89,762x = 139,383 × 139,383
  4. Step 4: Simplify right side
    89,762x = 19,427,620,689
  5. Step 5: Solve for x
    x = 19,427,620,689/89,762
  6. Step 6: Final answer
    x = 216,434.80

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.