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Finding the Third Proportional to 42,240 and 89,388

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Solution

The third proportional to 42,240 and 89,388 is: 189,162.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,240 : 89,388 = 89,388 : x
  2. Step 2: Convert to fraction form
    42,240/89,388 = 89,388/x
  3. Step 3: Cross multiply
    42,240x = 89,388 × 89,388
  4. Step 4: Simplify right side
    42,240x = 7,990,214,544
  5. Step 5: Solve for x
    x = 7,990,214,544/42,240
  6. Step 6: Final answer
    x = 189,162.28

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.