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Finding the Third Proportional to 93,242 and 139,831

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Solution

The third proportional to 93,242 and 139,831 is: 209,698.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,242 : 139,831 = 139,831 : x
  2. Step 2: Convert to fraction form
    93,242/139,831 = 139,831/x
  3. Step 3: Cross multiply
    93,242x = 139,831 × 139,831
  4. Step 4: Simplify right side
    93,242x = 19,552,708,561
  5. Step 5: Solve for x
    x = 19,552,708,561/93,242
  6. Step 6: Final answer
    x = 209,698.51

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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.