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Finding the Third Proportional to 53,001 and 116,007

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Solution

The third proportional to 53,001 and 116,007 is: 253,912.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,001 : 116,007 = 116,007 : x
  2. Step 2: Convert to fraction form
    53,001/116,007 = 116,007/x
  3. Step 3: Cross multiply
    53,001x = 116,007 × 116,007
  4. Step 4: Simplify right side
    53,001x = 13,457,624,049
  5. Step 5: Solve for x
    x = 13,457,624,049/53,001
  6. Step 6: Final answer
    x = 253,912.64

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.