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Finding the Third Proportional to 120,933.75 and 190,675.50

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Solution

The third proportional to 120,933.75 and 190,675.50 is: 300,636.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,933.75 : 190,675.50 = 190,675.50 : x
  2. Step 2: Convert to fraction form
    120,933.75/190,675.50 = 190,675.50/x
  3. Step 3: Cross multiply
    120,933.75x = 190,675.50 × 190,675.50
  4. Step 4: Simplify right side
    120,933.75x = 36,357,146,300.25
  5. Step 5: Solve for x
    x = 36,357,146,300.25/120,933.75
  6. Step 6: Final answer
    x = 300,636.89

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.