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Finding the Third Proportional to 108,669 and 172,903.50

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Solution

The third proportional to 108,669 and 172,903.50 is: 275,107.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,669 : 172,903.50 = 172,903.50 : x
  2. Step 2: Convert to fraction form
    108,669/172,903.50 = 172,903.50/x
  3. Step 3: Cross multiply
    108,669x = 172,903.50 × 172,903.50
  4. Step 4: Simplify right side
    108,669x = 29,895,620,312.25
  5. Step 5: Solve for x
    x = 29,895,620,312.25/108,669
  6. Step 6: Final answer
    x = 275,107.16

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.