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Finding the Third Proportional to 70,948 and 111,318

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Solution

The third proportional to 70,948 and 111,318 is: 174,658.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,948 : 111,318 = 111,318 : x
  2. Step 2: Convert to fraction form
    70,948/111,318 = 111,318/x
  3. Step 3: Cross multiply
    70,948x = 111,318 × 111,318
  4. Step 4: Simplify right side
    70,948x = 12,391,697,124
  5. Step 5: Solve for x
    x = 12,391,697,124/70,948
  6. Step 6: Final answer
    x = 174,658.86

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.