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Finding the Third Proportional to 102,804 and 164,046

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Solution

The third proportional to 102,804 and 164,046 is: 261,770.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,804 : 164,046 = 164,046 : x
  2. Step 2: Convert to fraction form
    102,804/164,046 = 164,046/x
  3. Step 3: Cross multiply
    102,804x = 164,046 × 164,046
  4. Step 4: Simplify right side
    102,804x = 26,911,090,116
  5. Step 5: Solve for x
    x = 26,911,090,116/102,804
  6. Step 6: Final answer
    x = 261,770.85

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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.