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Finding the Third Proportional to 108,402.75 and 166,828.13

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Solution

The third proportional to 108,402.75 and 166,828.13 is: 256,742.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,402.75 : 166,828.13 = 166,828.13 : x
  2. Step 2: Convert to fraction form
    108,402.75/166,828.13 = 166,828.13/x
  3. Step 3: Cross multiply
    108,402.75x = 166,828.13 × 166,828.13
  4. Step 4: Simplify right side
    108,402.75x = 27,831,623,291.02
  5. Step 5: Solve for x
    x = 27,831,623,291.02/108,402.75
  6. Step 6: Final answer
    x = 256,742.78

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.