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Finding the Third Proportional to 30,169 and 64,941

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Solution

The third proportional to 30,169 and 64,941 is: 139,790.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,169 : 64,941 = 64,941 : x
  2. Step 2: Convert to fraction form
    30,169/64,941 = 64,941/x
  3. Step 3: Cross multiply
    30,169x = 64,941 × 64,941
  4. Step 4: Simplify right side
    30,169x = 4,217,333,481
  5. Step 5: Solve for x
    x = 4,217,333,481/30,169
  6. Step 6: Final answer
    x = 139,790.30

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.