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Finding the Third Proportional to 101,968.88 and 143,339.63

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Solution

The third proportional to 101,968.88 and 143,339.63 is: 201,495.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,968.88 : 143,339.63 = 143,339.63 : x
  2. Step 2: Convert to fraction form
    101,968.88/143,339.63 = 143,339.63/x
  3. Step 3: Cross multiply
    101,968.88x = 143,339.63 × 143,339.63
  4. Step 4: Simplify right side
    101,968.88x = 20,546,248,095.14
  5. Step 5: Solve for x
    x = 20,546,248,095.14/101,968.88
  6. Step 6: Final answer
    x = 201,495.29

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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.