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Finding the Third Proportional to 125,653.50 and 194,311.50

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Solution

The third proportional to 125,653.50 and 194,311.50 is: 300,484.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,653.50 : 194,311.50 = 194,311.50 : x
  2. Step 2: Convert to fraction form
    125,653.50/194,311.50 = 194,311.50/x
  3. Step 3: Cross multiply
    125,653.50x = 194,311.50 × 194,311.50
  4. Step 4: Simplify right side
    125,653.50x = 37,756,959,032.25
  5. Step 5: Solve for x
    x = 37,756,959,032.25/125,653.50
  6. Step 6: Final answer
    x = 300,484.74

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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.