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Finding the Third Proportional to 47,762 and 70,194

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Solution

The third proportional to 47,762 and 70,194 is: 103,161.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,762 : 70,194 = 70,194 : x
  2. Step 2: Convert to fraction form
    47,762/70,194 = 70,194/x
  3. Step 3: Cross multiply
    47,762x = 70,194 × 70,194
  4. Step 4: Simplify right side
    47,762x = 4,927,197,636
  5. Step 5: Solve for x
    x = 4,927,197,636/47,762
  6. Step 6: Final answer
    x = 103,161.46

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.