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Finding the Third Proportional to 47,355 and 96,342

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Solution

The third proportional to 47,355 and 96,342 is: 196,004.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,355 : 96,342 = 96,342 : x
  2. Step 2: Convert to fraction form
    47,355/96,342 = 96,342/x
  3. Step 3: Cross multiply
    47,355x = 96,342 × 96,342
  4. Step 4: Simplify right side
    47,355x = 9,281,780,964
  5. Step 5: Solve for x
    x = 9,281,780,964/47,355
  6. Step 6: Final answer
    x = 196,004.24

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.