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Finding the Third Proportional to 101,970.75 and 143,341.50

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Solution

The third proportional to 101,970.75 and 143,341.50 is: 201,496.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,970.75 : 143,341.50 = 143,341.50 : x
  2. Step 2: Convert to fraction form
    101,970.75/143,341.50 = 143,341.50/x
  3. Step 3: Cross multiply
    101,970.75x = 143,341.50 × 143,341.50
  4. Step 4: Simplify right side
    101,970.75x = 20,546,785,622.25
  5. Step 5: Solve for x
    x = 20,546,785,622.25/101,970.75
  6. Step 6: Final answer
    x = 201,496.86

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.