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Finding the Third Proportional to 115,130 and 153,027

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Solution

The third proportional to 115,130 and 153,027 is: 203,398.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,130 : 153,027 = 153,027 : x
  2. Step 2: Convert to fraction form
    115,130/153,027 = 153,027/x
  3. Step 3: Cross multiply
    115,130x = 153,027 × 153,027
  4. Step 4: Simplify right side
    115,130x = 23,417,262,729
  5. Step 5: Solve for x
    x = 23,417,262,729/115,130
  6. Step 6: Final answer
    x = 203,398.44

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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.