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Finding the Third Proportional to 108,072 and 232,790

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Solution

The third proportional to 108,072 and 232,790 is: 501,435.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,072 : 232,790 = 232,790 : x
  2. Step 2: Convert to fraction form
    108,072/232,790 = 232,790/x
  3. Step 3: Cross multiply
    108,072x = 232,790 × 232,790
  4. Step 4: Simplify right side
    108,072x = 54,191,184,100
  5. Step 5: Solve for x
    x = 54,191,184,100/108,072
  6. Step 6: Final answer
    x = 501,435.93

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.