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Finding the Third Proportional to 108,429 and 169,201.50

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Solution

The third proportional to 108,429 and 169,201.50 is: 264,035.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,429 : 169,201.50 = 169,201.50 : x
  2. Step 2: Convert to fraction form
    108,429/169,201.50 = 169,201.50/x
  3. Step 3: Cross multiply
    108,429x = 169,201.50 × 169,201.50
  4. Step 4: Simplify right side
    108,429x = 28,629,147,602.25
  5. Step 5: Solve for x
    x = 28,629,147,602.25/108,429
  6. Step 6: Final answer
    x = 264,035.89

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.