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Finding the Third Proportional to 125,314 and 194,259

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Solution

The third proportional to 125,314 and 194,259 is: 301,136.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,314 : 194,259 = 194,259 : x
  2. Step 2: Convert to fraction form
    125,314/194,259 = 194,259/x
  3. Step 3: Cross multiply
    125,314x = 194,259 × 194,259
  4. Step 4: Simplify right side
    125,314x = 37,736,559,081
  5. Step 5: Solve for x
    x = 37,736,559,081/125,314
  6. Step 6: Final answer
    x = 301,136.02

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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.