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Finding the Third Proportional to 66,010 and 87,990

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Solution

The third proportional to 66,010 and 87,990 is: 117,288.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,010 : 87,990 = 87,990 : x
  2. Step 2: Convert to fraction form
    66,010/87,990 = 87,990/x
  3. Step 3: Cross multiply
    66,010x = 87,990 × 87,990
  4. Step 4: Simplify right side
    66,010x = 7,742,240,100
  5. Step 5: Solve for x
    x = 7,742,240,100/66,010
  6. Step 6: Final answer
    x = 117,288.90

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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.