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Finding the Third Proportional to 78,222 and 121,175

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Solution

The third proportional to 78,222 and 121,175 is: 187,714.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,222 : 121,175 = 121,175 : x
  2. Step 2: Convert to fraction form
    78,222/121,175 = 121,175/x
  3. Step 3: Cross multiply
    78,222x = 121,175 × 121,175
  4. Step 4: Simplify right side
    78,222x = 14,683,380,625
  5. Step 5: Solve for x
    x = 14,683,380,625/78,222
  6. Step 6: Final answer
    x = 187,714.21

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.