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Finding the Third Proportional to 108,594 and 159,009

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Solution

The third proportional to 108,594 and 159,009 is: 232,829.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,594 : 159,009 = 159,009 : x
  2. Step 2: Convert to fraction form
    108,594/159,009 = 159,009/x
  3. Step 3: Cross multiply
    108,594x = 159,009 × 159,009
  4. Step 4: Simplify right side
    108,594x = 25,283,862,081
  5. Step 5: Solve for x
    x = 25,283,862,081/108,594
  6. Step 6: Final answer
    x = 232,829.27

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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.