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Finding the Third Proportional to 93,970 and 137,427

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Solution

The third proportional to 93,970 and 137,427 is: 200,980.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,970 : 137,427 = 137,427 : x
  2. Step 2: Convert to fraction form
    93,970/137,427 = 137,427/x
  3. Step 3: Cross multiply
    93,970x = 137,427 × 137,427
  4. Step 4: Simplify right side
    93,970x = 18,886,180,329
  5. Step 5: Solve for x
    x = 18,886,180,329/93,970
  6. Step 6: Final answer
    x = 200,980.95

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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.