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Finding the Third Proportional to 78,466.50 and 114,054

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Solution

The third proportional to 78,466.50 and 114,054 is: 165,781.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,466.50 : 114,054 = 114,054 : x
  2. Step 2: Convert to fraction form
    78,466.50/114,054 = 114,054/x
  3. Step 3: Cross multiply
    78,466.50x = 114,054 × 114,054
  4. Step 4: Simplify right side
    78,466.50x = 13,008,314,916
  5. Step 5: Solve for x
    x = 13,008,314,916/78,466.50
  6. Step 6: Final answer
    x = 165,781.77

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These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.