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Finding the Third Proportional to 50,004.84 and 118,041.05

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Solution

The third proportional to 50,004.84 and 118,041.05 is: 278,646.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,004.84 : 118,041.05 = 118,041.05 : x
  2. Step 2: Convert to fraction form
    50,004.84/118,041.05 = 118,041.05/x
  3. Step 3: Cross multiply
    50,004.84x = 118,041.05 × 118,041.05
  4. Step 4: Simplify right side
    50,004.84x = 13,933,688,747.35
  5. Step 5: Solve for x
    x = 13,933,688,747.35/50,004.84
  6. Step 6: Final answer
    x = 278,646.78

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.