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Finding the Third Proportional to 66,786 and 104,010

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Solution

The third proportional to 66,786 and 104,010 is: 161,981.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,786 : 104,010 = 104,010 : x
  2. Step 2: Convert to fraction form
    66,786/104,010 = 104,010/x
  3. Step 3: Cross multiply
    66,786x = 104,010 × 104,010
  4. Step 4: Simplify right side
    66,786x = 10,818,080,100
  5. Step 5: Solve for x
    x = 10,818,080,100/66,786
  6. Step 6: Final answer
    x = 161,981.26

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.