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Finding the Third Proportional to 125,870.63 and 194,460.75

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Solution

The third proportional to 125,870.63 and 194,460.75 is: 300,427.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,870.63 : 194,460.75 = 194,460.75 : x
  2. Step 2: Convert to fraction form
    125,870.63/194,460.75 = 194,460.75/x
  3. Step 3: Cross multiply
    125,870.63x = 194,460.75 × 194,460.75
  4. Step 4: Simplify right side
    125,870.63x = 37,814,983,290.56
  5. Step 5: Solve for x
    x = 37,814,983,290.56/125,870.63
  6. Step 6: Final answer
    x = 300,427.39

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.