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Finding the Third Proportional to 64,460 and 139,990

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Solution

The third proportional to 64,460 and 139,990 is: 304,021.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,460 : 139,990 = 139,990 : x
  2. Step 2: Convert to fraction form
    64,460/139,990 = 139,990/x
  3. Step 3: Cross multiply
    64,460x = 139,990 × 139,990
  4. Step 4: Simplify right side
    64,460x = 19,597,200,100
  5. Step 5: Solve for x
    x = 19,597,200,100/64,460
  6. Step 6: Final answer
    x = 304,021.10

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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.