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Finding the Third Proportional to 108,075.94 and 172,654.03

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Solution

The third proportional to 108,075.94 and 172,654.03 is: 275,819.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,075.94 : 172,654.03 = 172,654.03 : x
  2. Step 2: Convert to fraction form
    108,075.94/172,654.03 = 172,654.03/x
  3. Step 3: Cross multiply
    108,075.94x = 172,654.03 × 172,654.03
  4. Step 4: Simplify right side
    108,075.94x = 29,809,414,506.88
  5. Step 5: Solve for x
    x = 29,809,414,506.88/108,075.94
  6. Step 6: Final answer
    x = 275,819.16

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.