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Finding the Third Proportional to 115,134 and 153,033

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Solution

The third proportional to 115,134 and 153,033 is: 203,407.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,134 : 153,033 = 153,033 : x
  2. Step 2: Convert to fraction form
    115,134/153,033 = 153,033/x
  3. Step 3: Cross multiply
    115,134x = 153,033 × 153,033
  4. Step 4: Simplify right side
    115,134x = 23,419,099,089
  5. Step 5: Solve for x
    x = 23,419,099,089/115,134
  6. Step 6: Final answer
    x = 203,407.33

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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.