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Finding the Third Proportional to 93,389 and 139,753

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Solution

The third proportional to 93,389 and 139,753 is: 209,134.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,389 : 139,753 = 139,753 : x
  2. Step 2: Convert to fraction form
    93,389/139,753 = 139,753/x
  3. Step 3: Cross multiply
    93,389x = 139,753 × 139,753
  4. Step 4: Simplify right side
    93,389x = 19,530,901,009
  5. Step 5: Solve for x
    x = 19,530,901,009/93,389
  6. Step 6: Final answer
    x = 209,134.92

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.