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Finding the Third Proportional to 49,020.75 and 107,484.75

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Solution

The third proportional to 49,020.75 and 107,484.75 is: 235,675.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,020.75 : 107,484.75 = 107,484.75 : x
  2. Step 2: Convert to fraction form
    49,020.75/107,484.75 = 107,484.75/x
  3. Step 3: Cross multiply
    49,020.75x = 107,484.75 × 107,484.75
  4. Step 4: Simplify right side
    49,020.75x = 11,552,971,482.56
  5. Step 5: Solve for x
    x = 11,552,971,482.56/49,020.75
  6. Step 6: Final answer
    x = 235,675.13

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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.