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Finding the Third Proportional to 102,609 and 162,904

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Solution

The third proportional to 102,609 and 162,904 is: 258,629.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,609 : 162,904 = 162,904 : x
  2. Step 2: Convert to fraction form
    102,609/162,904 = 162,904/x
  3. Step 3: Cross multiply
    102,609x = 162,904 × 162,904
  4. Step 4: Simplify right side
    102,609x = 26,537,713,216
  5. Step 5: Solve for x
    x = 26,537,713,216/102,609
  6. Step 6: Final answer
    x = 258,629.49

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.