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Finding the Third Proportional to 57,645 and 89,025

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Solution

The third proportional to 57,645 and 89,025 is: 137,487.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,645 : 89,025 = 89,025 : x
  2. Step 2: Convert to fraction form
    57,645/89,025 = 89,025/x
  3. Step 3: Cross multiply
    57,645x = 89,025 × 89,025
  4. Step 4: Simplify right side
    57,645x = 7,925,450,625
  5. Step 5: Solve for x
    x = 7,925,450,625/57,645
  6. Step 6: Final answer
    x = 137,487.22

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.