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Finding the Third Proportional to 47,056 and 97,984

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Solution

The third proportional to 47,056 and 97,984 is: 204,030.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,056 : 97,984 = 97,984 : x
  2. Step 2: Convert to fraction form
    47,056/97,984 = 97,984/x
  3. Step 3: Cross multiply
    47,056x = 97,984 × 97,984
  4. Step 4: Simplify right side
    47,056x = 9,600,864,256
  5. Step 5: Solve for x
    x = 9,600,864,256/47,056
  6. Step 6: Final answer
    x = 204,030.61

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.