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Finding the Third Proportional to 130,965 and 193,991

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Solution

The third proportional to 130,965 and 193,991 is: 287,347.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,965 : 193,991 = 193,991 : x
  2. Step 2: Convert to fraction form
    130,965/193,991 = 193,991/x
  3. Step 3: Cross multiply
    130,965x = 193,991 × 193,991
  4. Step 4: Simplify right side
    130,965x = 37,632,508,081
  5. Step 5: Solve for x
    x = 37,632,508,081/130,965
  6. Step 6: Final answer
    x = 287,347.83

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.