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Finding the Third Proportional to 89,887.50 and 136,471.50

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Solution

The third proportional to 89,887.50 and 136,471.50 is: 207,197.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,887.50 : 136,471.50 = 136,471.50 : x
  2. Step 2: Convert to fraction form
    89,887.50/136,471.50 = 136,471.50/x
  3. Step 3: Cross multiply
    89,887.50x = 136,471.50 × 136,471.50
  4. Step 4: Simplify right side
    89,887.50x = 18,624,470,312.25
  5. Step 5: Solve for x
    x = 18,624,470,312.25/89,887.50
  6. Step 6: Final answer
    x = 207,197.56

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.