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Finding the Third Proportional to 89,025 and 135,783

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Solution

The third proportional to 89,025 and 135,783 is: 207,099.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,025 : 135,783 = 135,783 : x
  2. Step 2: Convert to fraction form
    89,025/135,783 = 135,783/x
  3. Step 3: Cross multiply
    89,025x = 135,783 × 135,783
  4. Step 4: Simplify right side
    89,025x = 18,437,023,089
  5. Step 5: Solve for x
    x = 18,437,023,089/89,025
  6. Step 6: Final answer
    x = 207,099.39

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.