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Finding the Third Proportional to 131,265 and 194,130

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Solution

The third proportional to 131,265 and 194,130 is: 287,102.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,265 : 194,130 = 194,130 : x
  2. Step 2: Convert to fraction form
    131,265/194,130 = 194,130/x
  3. Step 3: Cross multiply
    131,265x = 194,130 × 194,130
  4. Step 4: Simplify right side
    131,265x = 37,686,456,900
  5. Step 5: Solve for x
    x = 37,686,456,900/131,265
  6. Step 6: Final answer
    x = 287,102.10

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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.