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Finding the Third Proportional to 120,908.50 and 190,637.50

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Solution

The third proportional to 120,908.50 and 190,637.50 is: 300,579.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,908.50 : 190,637.50 = 190,637.50 : x
  2. Step 2: Convert to fraction form
    120,908.50/190,637.50 = 190,637.50/x
  3. Step 3: Cross multiply
    120,908.50x = 190,637.50 × 190,637.50
  4. Step 4: Simplify right side
    120,908.50x = 36,342,656,406.25
  5. Step 5: Solve for x
    x = 36,342,656,406.25/120,908.50
  6. Step 6: Final answer
    x = 300,579.83

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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.