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Finding the Third Proportional to 108,909 and 165,004.50

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Solution

The third proportional to 108,909 and 165,004.50 is: 249,992.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,909 : 165,004.50 = 165,004.50 : x
  2. Step 2: Convert to fraction form
    108,909/165,004.50 = 165,004.50/x
  3. Step 3: Cross multiply
    108,909x = 165,004.50 × 165,004.50
  4. Step 4: Simplify right side
    108,909x = 27,226,485,020.25
  5. Step 5: Solve for x
    x = 27,226,485,020.25/108,909
  6. Step 6: Final answer
    x = 249,992.98

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