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Finding the Third Proportional to 85,104 and 114,480

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Solution

The third proportional to 85,104 and 114,480 is: 153,995.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,104 : 114,480 = 114,480 : x
  2. Step 2: Convert to fraction form
    85,104/114,480 = 114,480/x
  3. Step 3: Cross multiply
    85,104x = 114,480 × 114,480
  4. Step 4: Simplify right side
    85,104x = 13,105,670,400
  5. Step 5: Solve for x
    x = 13,105,670,400/85,104
  6. Step 6: Final answer
    x = 153,995.94

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.