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Finding the Third Proportional to 108,555.75 and 165,002.63

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Solution

The third proportional to 108,555.75 and 165,002.63 is: 250,800.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,555.75 : 165,002.63 = 165,002.63 : x
  2. Step 2: Convert to fraction form
    108,555.75/165,002.63 = 165,002.63/x
  3. Step 3: Cross multiply
    108,555.75x = 165,002.63 × 165,002.63
  4. Step 4: Simplify right side
    108,555.75x = 27,225,866,256.89
  5. Step 5: Solve for x
    x = 27,225,866,256.89/108,555.75
  6. Step 6: Final answer
    x = 250,800.78

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.