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Finding the Third Proportional to 66,898 and 89,182

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Solution

The third proportional to 66,898 and 89,182 is: 118,888.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,898 : 89,182 = 89,182 : x
  2. Step 2: Convert to fraction form
    66,898/89,182 = 89,182/x
  3. Step 3: Cross multiply
    66,898x = 89,182 × 89,182
  4. Step 4: Simplify right side
    66,898x = 7,953,429,124
  5. Step 5: Solve for x
    x = 7,953,429,124/66,898
  6. Step 6: Final answer
    x = 118,888.89

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.