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Finding the Third Proportional to 43,240 and 89,768

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Solution

The third proportional to 43,240 and 89,768 is: 186,362.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,240 : 89,768 = 89,768 : x
  2. Step 2: Convert to fraction form
    43,240/89,768 = 89,768/x
  3. Step 3: Cross multiply
    43,240x = 89,768 × 89,768
  4. Step 4: Simplify right side
    43,240x = 8,058,293,824
  5. Step 5: Solve for x
    x = 8,058,293,824/43,240
  6. Step 6: Final answer
    x = 186,362.02

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.