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Finding the Third Proportional to 101,958 and 155,097

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Solution

The third proportional to 101,958 and 155,097 is: 235,931.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,958 : 155,097 = 155,097 : x
  2. Step 2: Convert to fraction form
    101,958/155,097 = 155,097/x
  3. Step 3: Cross multiply
    101,958x = 155,097 × 155,097
  4. Step 4: Simplify right side
    101,958x = 24,055,079,409
  5. Step 5: Solve for x
    x = 24,055,079,409/101,958
  6. Step 6: Final answer
    x = 235,931.26

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.