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Finding the Third Proportional to 47,956 and 70,196

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Solution

The third proportional to 47,956 and 70,196 is: 102,749.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,956 : 70,196 = 70,196 : x
  2. Step 2: Convert to fraction form
    47,956/70,196 = 70,196/x
  3. Step 3: Cross multiply
    47,956x = 70,196 × 70,196
  4. Step 4: Simplify right side
    47,956x = 4,927,478,416
  5. Step 5: Solve for x
    x = 4,927,478,416/47,956
  6. Step 6: Final answer
    x = 102,749.99

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.