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Finding the Third Proportional to 93,824 and 137,184

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Solution

The third proportional to 93,824 and 137,184 is: 200,582.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,824 : 137,184 = 137,184 : x
  2. Step 2: Convert to fraction form
    93,824/137,184 = 137,184/x
  3. Step 3: Cross multiply
    93,824x = 137,184 × 137,184
  4. Step 4: Simplify right side
    93,824x = 18,819,449,856
  5. Step 5: Solve for x
    x = 18,819,449,856/93,824
  6. Step 6: Final answer
    x = 200,582.47

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.