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Finding the Third Proportional to 47,283 and 96,726

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Solution

The third proportional to 47,283 and 96,726 is: 197,870.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,283 : 96,726 = 96,726 : x
  2. Step 2: Convert to fraction form
    47,283/96,726 = 96,726/x
  3. Step 3: Cross multiply
    47,283x = 96,726 × 96,726
  4. Step 4: Simplify right side
    47,283x = 9,355,919,076
  5. Step 5: Solve for x
    x = 9,355,919,076/47,283
  6. Step 6: Final answer
    x = 197,870.67

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.