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Finding the Third Proportional to 102,920 and 163,596

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Solution

The third proportional to 102,920 and 163,596 is: 260,043.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,920 : 163,596 = 163,596 : x
  2. Step 2: Convert to fraction form
    102,920/163,596 = 163,596/x
  3. Step 3: Cross multiply
    102,920x = 163,596 × 163,596
  4. Step 4: Simplify right side
    102,920x = 26,763,651,216
  5. Step 5: Solve for x
    x = 26,763,651,216/102,920
  6. Step 6: Final answer
    x = 260,043.25

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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.