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Finding the Third Proportional to 49,318 and 75,205

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Solution

The third proportional to 49,318 and 75,205 is: 114,680.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,318 : 75,205 = 75,205 : x
  2. Step 2: Convert to fraction form
    49,318/75,205 = 75,205/x
  3. Step 3: Cross multiply
    49,318x = 75,205 × 75,205
  4. Step 4: Simplify right side
    49,318x = 5,655,792,025
  5. Step 5: Solve for x
    x = 5,655,792,025/49,318
  6. Step 6: Final answer
    x = 114,680.08

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.