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Finding the Third Proportional to 108,600 and 159,018

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Solution

The third proportional to 108,600 and 159,018 is: 232,842.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,600 : 159,018 = 159,018 : x
  2. Step 2: Convert to fraction form
    108,600/159,018 = 159,018/x
  3. Step 3: Cross multiply
    108,600x = 159,018 × 159,018
  4. Step 4: Simplify right side
    108,600x = 25,286,724,324
  5. Step 5: Solve for x
    x = 25,286,724,324/108,600
  6. Step 6: Final answer
    x = 232,842.77

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.