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Finding the Third Proportional to 89,822.50 and 140,905

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Solution

The third proportional to 89,822.50 and 140,905 is: 221,038.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,822.50 : 140,905 = 140,905 : x
  2. Step 2: Convert to fraction form
    89,822.50/140,905 = 140,905/x
  3. Step 3: Cross multiply
    89,822.50x = 140,905 × 140,905
  4. Step 4: Simplify right side
    89,822.50x = 19,854,219,025
  5. Step 5: Solve for x
    x = 19,854,219,025/89,822.50
  6. Step 6: Final answer
    x = 221,038.37

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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.