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Finding the Third Proportional to 50,814 and 134,878.50

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Solution

The third proportional to 50,814 and 134,878.50 is: 358,015.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,814 : 134,878.50 = 134,878.50 : x
  2. Step 2: Convert to fraction form
    50,814/134,878.50 = 134,878.50/x
  3. Step 3: Cross multiply
    50,814x = 134,878.50 × 134,878.50
  4. Step 4: Simplify right side
    50,814x = 18,192,209,762.25
  5. Step 5: Solve for x
    x = 18,192,209,762.25/50,814
  6. Step 6: Final answer
    x = 358,015.70

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Why These Related Problems?

These problems maintain the same ratio (2.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.