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Finding the Third Proportional to 49,388 and 96,290

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Solution

The third proportional to 49,388 and 96,290 is: 187,733.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,388 : 96,290 = 96,290 : x
  2. Step 2: Convert to fraction form
    49,388/96,290 = 96,290/x
  3. Step 3: Cross multiply
    49,388x = 96,290 × 96,290
  4. Step 4: Simplify right side
    49,388x = 9,271,764,100
  5. Step 5: Solve for x
    x = 9,271,764,100/49,388
  6. Step 6: Final answer
    x = 187,733.14

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.