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Finding the Third Proportional to 128,860.50 and 194,706

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Solution

The third proportional to 128,860.50 and 194,706 is: 294,197.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,860.50 : 194,706 = 194,706 : x
  2. Step 2: Convert to fraction form
    128,860.50/194,706 = 194,706/x
  3. Step 3: Cross multiply
    128,860.50x = 194,706 × 194,706
  4. Step 4: Simplify right side
    128,860.50x = 37,910,426,436
  5. Step 5: Solve for x
    x = 37,910,426,436/128,860.50
  6. Step 6: Final answer
    x = 294,197.42

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.