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Finding the Third Proportional to 89,570.50 and 133,887.75

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Solution

The third proportional to 89,570.50 and 133,887.75 is: 200,132.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,570.50 : 133,887.75 = 133,887.75 : x
  2. Step 2: Convert to fraction form
    89,570.50/133,887.75 = 133,887.75/x
  3. Step 3: Cross multiply
    89,570.50x = 133,887.75 × 133,887.75
  4. Step 4: Simplify right side
    89,570.50x = 17,925,929,600.06
  5. Step 5: Solve for x
    x = 17,925,929,600.06/89,570.50
  6. Step 6: Final answer
    x = 200,132.07

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.