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Finding the Third Proportional to 89,140.50 and 189,729

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Solution

The third proportional to 89,140.50 and 189,729 is: 403,824.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,140.50 : 189,729 = 189,729 : x
  2. Step 2: Convert to fraction form
    89,140.50/189,729 = 189,729/x
  3. Step 3: Cross multiply
    89,140.50x = 189,729 × 189,729
  4. Step 4: Simplify right side
    89,140.50x = 35,997,093,441
  5. Step 5: Solve for x
    x = 35,997,093,441/89,140.50
  6. Step 6: Final answer
    x = 403,824.23

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.