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Finding the Third Proportional to 64,401.75 and 130,622.63

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Solution

The third proportional to 64,401.75 and 130,622.63 is: 264,934.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,401.75 : 130,622.63 = 130,622.63 : x
  2. Step 2: Convert to fraction form
    64,401.75/130,622.63 = 130,622.63/x
  3. Step 3: Cross multiply
    64,401.75x = 130,622.63 × 130,622.63
  4. Step 4: Simplify right side
    64,401.75x = 17,062,270,161.89
  5. Step 5: Solve for x
    x = 17,062,270,161.89/64,401.75
  6. Step 6: Final answer
    x = 264,934.88

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.