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Finding the Third Proportional to 83,430 and 173,763

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Solution

The third proportional to 83,430 and 173,763 is: 361,903.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,430 : 173,763 = 173,763 : x
  2. Step 2: Convert to fraction form
    83,430/173,763 = 173,763/x
  3. Step 3: Cross multiply
    83,430x = 173,763 × 173,763
  4. Step 4: Simplify right side
    83,430x = 30,193,580,169
  5. Step 5: Solve for x
    x = 30,193,580,169/83,430
  6. Step 6: Final answer
    x = 361,903.15

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.