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Finding the Third Proportional to 105,189 and 143,710.50

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Solution

The third proportional to 105,189 and 143,710.50 is: 196,339.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,189 : 143,710.50 = 143,710.50 : x
  2. Step 2: Convert to fraction form
    105,189/143,710.50 = 143,710.50/x
  3. Step 3: Cross multiply
    105,189x = 143,710.50 × 143,710.50
  4. Step 4: Simplify right side
    105,189x = 20,652,707,810.25
  5. Step 5: Solve for x
    x = 20,652,707,810.25/105,189
  6. Step 6: Final answer
    x = 196,339.05

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.