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Finding the Third Proportional to 130,112 and 194,629

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Solution

The third proportional to 130,112 and 194,629 is: 291,137.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,112 : 194,629 = 194,629 : x
  2. Step 2: Convert to fraction form
    130,112/194,629 = 194,629/x
  3. Step 3: Cross multiply
    130,112x = 194,629 × 194,629
  4. Step 4: Simplify right side
    130,112x = 37,880,447,641
  5. Step 5: Solve for x
    x = 37,880,447,641/130,112
  6. Step 6: Final answer
    x = 291,137.23

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.