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Finding the Third Proportional to 47,725 and 70,189

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Solution

The third proportional to 47,725 and 70,189 is: 103,226.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,725 : 70,189 = 70,189 : x
  2. Step 2: Convert to fraction form
    47,725/70,189 = 70,189/x
  3. Step 3: Cross multiply
    47,725x = 70,189 × 70,189
  4. Step 4: Simplify right side
    47,725x = 4,926,495,721
  5. Step 5: Solve for x
    x = 4,926,495,721/47,725
  6. Step 6: Final answer
    x = 103,226.73

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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.