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Finding the Third Proportional to 64,047 and 139,170

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Solution

The third proportional to 64,047 and 139,170 is: 302,407.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,047 : 139,170 = 139,170 : x
  2. Step 2: Convert to fraction form
    64,047/139,170 = 139,170/x
  3. Step 3: Cross multiply
    64,047x = 139,170 × 139,170
  4. Step 4: Simplify right side
    64,047x = 19,368,288,900
  5. Step 5: Solve for x
    x = 19,368,288,900/64,047
  6. Step 6: Final answer
    x = 302,407.43

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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.