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Finding the Third Proportional to 47,148 and 68,898

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Solution

The third proportional to 47,148 and 68,898 is: 100,681.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,148 : 68,898 = 68,898 : x
  2. Step 2: Convert to fraction form
    47,148/68,898 = 68,898/x
  3. Step 3: Cross multiply
    47,148x = 68,898 × 68,898
  4. Step 4: Simplify right side
    47,148x = 4,746,934,404
  5. Step 5: Solve for x
    x = 4,746,934,404/47,148
  6. Step 6: Final answer
    x = 100,681.56

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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.