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Finding the Third Proportional to 63,904.50 and 130,941

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Solution

The third proportional to 63,904.50 and 130,941 is: 268,299.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,904.50 : 130,941 = 130,941 : x
  2. Step 2: Convert to fraction form
    63,904.50/130,941 = 130,941/x
  3. Step 3: Cross multiply
    63,904.50x = 130,941 × 130,941
  4. Step 4: Simplify right side
    63,904.50x = 17,145,545,481
  5. Step 5: Solve for x
    x = 17,145,545,481/63,904.50
  6. Step 6: Final answer
    x = 268,299.50

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.