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Finding the Third Proportional to 102,617 and 163,929

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Solution

The third proportional to 102,617 and 163,929 is: 261,873.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,617 : 163,929 = 163,929 : x
  2. Step 2: Convert to fraction form
    102,617/163,929 = 163,929/x
  3. Step 3: Cross multiply
    102,617x = 163,929 × 163,929
  4. Step 4: Simplify right side
    102,617x = 26,872,717,041
  5. Step 5: Solve for x
    x = 26,872,717,041/102,617
  6. Step 6: Final answer
    x = 261,873.93

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.