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Finding the Third Proportional to 108,788 and 159,006

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Solution

The third proportional to 108,788 and 159,006 is: 232,405.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,788 : 159,006 = 159,006 : x
  2. Step 2: Convert to fraction form
    108,788/159,006 = 159,006/x
  3. Step 3: Cross multiply
    108,788x = 159,006 × 159,006
  4. Step 4: Simplify right side
    108,788x = 25,282,908,036
  5. Step 5: Solve for x
    x = 25,282,908,036/108,788
  6. Step 6: Final answer
    x = 232,405.30

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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.