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Finding the Third Proportional to 125,356.50 and 194,190

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Solution

The third proportional to 125,356.50 and 194,190 is: 300,820.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,356.50 : 194,190 = 194,190 : x
  2. Step 2: Convert to fraction form
    125,356.50/194,190 = 194,190/x
  3. Step 3: Cross multiply
    125,356.50x = 194,190 × 194,190
  4. Step 4: Simplify right side
    125,356.50x = 37,709,756,100
  5. Step 5: Solve for x
    x = 37,709,756,100/125,356.50
  6. Step 6: Final answer
    x = 300,820.11

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