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Finding the Third Proportional to 130,120 and 194,097

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Solution

The third proportional to 130,120 and 194,097 is: 289,530.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,120 : 194,097 = 194,097 : x
  2. Step 2: Convert to fraction form
    130,120/194,097 = 194,097/x
  3. Step 3: Cross multiply
    130,120x = 194,097 × 194,097
  4. Step 4: Simplify right side
    130,120x = 37,673,645,409
  5. Step 5: Solve for x
    x = 37,673,645,409/130,120
  6. Step 6: Final answer
    x = 289,530.01

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.