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Finding the Third Proportional to 75,367.81 and 119,970.50

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Solution

The third proportional to 75,367.81 and 119,970.50 is: 190,969.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,367.81 : 119,970.50 = 119,970.50 : x
  2. Step 2: Convert to fraction form
    75,367.81/119,970.50 = 119,970.50/x
  3. Step 3: Cross multiply
    75,367.81x = 119,970.50 × 119,970.50
  4. Step 4: Simplify right side
    75,367.81x = 14,392,920,870.25
  5. Step 5: Solve for x
    x = 14,392,920,870.25/75,367.81
  6. Step 6: Final answer
    x = 190,969.07

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.