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Finding the Third Proportional to 107,004 and 158,967

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Solution

The third proportional to 107,004 and 158,967 is: 236,164.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,004 : 158,967 = 158,967 : x
  2. Step 2: Convert to fraction form
    107,004/158,967 = 158,967/x
  3. Step 3: Cross multiply
    107,004x = 158,967 × 158,967
  4. Step 4: Simplify right side
    107,004x = 25,270,507,089
  5. Step 5: Solve for x
    x = 25,270,507,089/107,004
  6. Step 6: Final answer
    x = 236,164.13

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.