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Finding the Third Proportional to 107,804 and 163,216

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Solution

The third proportional to 107,804 and 163,216 is: 247,110.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,804 : 163,216 = 163,216 : x
  2. Step 2: Convert to fraction form
    107,804/163,216 = 163,216/x
  3. Step 3: Cross multiply
    107,804x = 163,216 × 163,216
  4. Step 4: Simplify right side
    107,804x = 26,639,462,656
  5. Step 5: Solve for x
    x = 26,639,462,656/107,804
  6. Step 6: Final answer
    x = 247,110.15

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.