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Finding the Third Proportional to 66,768 and 103,984

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Solution

The third proportional to 66,768 and 103,984 is: 161,943.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,768 : 103,984 = 103,984 : x
  2. Step 2: Convert to fraction form
    66,768/103,984 = 103,984/x
  3. Step 3: Cross multiply
    66,768x = 103,984 × 103,984
  4. Step 4: Simplify right side
    66,768x = 10,812,672,256
  5. Step 5: Solve for x
    x = 10,812,672,256/66,768
  6. Step 6: Final answer
    x = 161,943.93

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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.