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Finding the Third Proportional to 64,104 and 140,271

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Solution

The third proportional to 64,104 and 140,271 is: 306,938.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,104 : 140,271 = 140,271 : x
  2. Step 2: Convert to fraction form
    64,104/140,271 = 140,271/x
  3. Step 3: Cross multiply
    64,104x = 140,271 × 140,271
  4. Step 4: Simplify right side
    64,104x = 19,675,953,441
  5. Step 5: Solve for x
    x = 19,675,953,441/64,104
  6. Step 6: Final answer
    x = 306,938.00

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.