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Finding the Third Proportional to 130,896.75 and 192,186.38

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Solution

The third proportional to 130,896.75 and 192,186.38 is: 282,173.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,896.75 : 192,186.38 = 192,186.38 : x
  2. Step 2: Convert to fraction form
    130,896.75/192,186.38 = 192,186.38/x
  3. Step 3: Cross multiply
    130,896.75x = 192,186.38 × 192,186.38
  4. Step 4: Simplify right side
    130,896.75x = 36,935,602,735.64
  5. Step 5: Solve for x
    x = 36,935,602,735.64/130,896.75
  6. Step 6: Final answer
    x = 282,173.57

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.