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Finding the Third Proportional to 108,021 and 158,383.50

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Solution

The third proportional to 108,021 and 158,383.50 is: 232,226.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,021 : 158,383.50 = 158,383.50 : x
  2. Step 2: Convert to fraction form
    108,021/158,383.50 = 158,383.50/x
  3. Step 3: Cross multiply
    108,021x = 158,383.50 × 158,383.50
  4. Step 4: Simplify right side
    108,021x = 25,085,333,072.25
  5. Step 5: Solve for x
    x = 25,085,333,072.25/108,021
  6. Step 6: Final answer
    x = 232,226.45

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.