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Finding the Third Proportional to 78,050 and 165,823

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Solution

The third proportional to 78,050 and 165,823 is: 352,303.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,050 : 165,823 = 165,823 : x
  2. Step 2: Convert to fraction form
    78,050/165,823 = 165,823/x
  3. Step 3: Cross multiply
    78,050x = 165,823 × 165,823
  4. Step 4: Simplify right side
    78,050x = 27,497,267,329
  5. Step 5: Solve for x
    x = 27,497,267,329/78,050
  6. Step 6: Final answer
    x = 352,303.23

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.