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Finding the Third Proportional to 108,332.44 and 143,780.06

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Solution

The third proportional to 108,332.44 and 143,780.06 is: 190,826.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,332.44 : 143,780.06 = 143,780.06 : x
  2. Step 2: Convert to fraction form
    108,332.44/143,780.06 = 143,780.06/x
  3. Step 3: Cross multiply
    108,332.44x = 143,780.06 × 143,780.06
  4. Step 4: Simplify right side
    108,332.44x = 20,672,706,372.50
  5. Step 5: Solve for x
    x = 20,672,706,372.50/108,332.44
  6. Step 6: Final answer
    x = 190,826.56

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.