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Finding the Third Proportional to 125,539.88 and 194,612.63

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Solution

The third proportional to 125,539.88 and 194,612.63 is: 301,689.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,539.88 : 194,612.63 = 194,612.63 : x
  2. Step 2: Convert to fraction form
    125,539.88/194,612.63 = 194,612.63/x
  3. Step 3: Cross multiply
    125,539.88x = 194,612.63 × 194,612.63
  4. Step 4: Simplify right side
    125,539.88x = 37,874,073,809.39
  5. Step 5: Solve for x
    x = 37,874,073,809.39/125,539.88
  6. Step 6: Final answer
    x = 301,689.59

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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.