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Finding the Third Proportional to 125,397 and 194,251.50

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Solution

The third proportional to 125,397 and 194,251.50 is: 300,913.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,397 : 194,251.50 = 194,251.50 : x
  2. Step 2: Convert to fraction form
    125,397/194,251.50 = 194,251.50/x
  3. Step 3: Cross multiply
    125,397x = 194,251.50 × 194,251.50
  4. Step 4: Simplify right side
    125,397x = 37,733,645,252.25
  5. Step 5: Solve for x
    x = 37,733,645,252.25/125,397
  6. Step 6: Final answer
    x = 300,913.46

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.