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Finding the Third Proportional to 108,903 and 164,996

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Solution

The third proportional to 108,903 and 164,996 is: 249,980.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,903 : 164,996 = 164,996 : x
  2. Step 2: Convert to fraction form
    108,903/164,996 = 164,996/x
  3. Step 3: Cross multiply
    108,903x = 164,996 × 164,996
  4. Step 4: Simplify right side
    108,903x = 27,223,680,016
  5. Step 5: Solve for x
    x = 27,223,680,016/108,903
  6. Step 6: Final answer
    x = 249,980.99

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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.