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Finding the Third Proportional to 78,829 and 118,323

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Solution

The third proportional to 78,829 and 118,323 is: 177,603.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,829 : 118,323 = 118,323 : x
  2. Step 2: Convert to fraction form
    78,829/118,323 = 118,323/x
  3. Step 3: Cross multiply
    78,829x = 118,323 × 118,323
  4. Step 4: Simplify right side
    78,829x = 14,000,332,329
  5. Step 5: Solve for x
    x = 14,000,332,329/78,829
  6. Step 6: Final answer
    x = 177,603.83

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.