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Finding the Third Proportional to 78,196 and 129,425

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Solution

The third proportional to 78,196 and 129,425 is: 214,215.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,196 : 129,425 = 129,425 : x
  2. Step 2: Convert to fraction form
    78,196/129,425 = 129,425/x
  3. Step 3: Cross multiply
    78,196x = 129,425 × 129,425
  4. Step 4: Simplify right side
    78,196x = 16,750,830,625
  5. Step 5: Solve for x
    x = 16,750,830,625/78,196
  6. Step 6: Final answer
    x = 214,215.95

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These problems maintain the same ratio (1.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.