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Finding the Third Proportional to 40,524 and 87,768

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Solution

The third proportional to 40,524 and 87,768 is: 190,090.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,524 : 87,768 = 87,768 : x
  2. Step 2: Convert to fraction form
    40,524/87,768 = 87,768/x
  3. Step 3: Cross multiply
    40,524x = 87,768 × 87,768
  4. Step 4: Simplify right side
    40,524x = 7,703,221,824
  5. Step 5: Solve for x
    x = 7,703,221,824/40,524
  6. Step 6: Final answer
    x = 190,090.36

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.