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Finding the Third Proportional to 85,112 and 114,492

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Solution

The third proportional to 85,112 and 114,492 is: 154,013.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,112 : 114,492 = 114,492 : x
  2. Step 2: Convert to fraction form
    85,112/114,492 = 114,492/x
  3. Step 3: Cross multiply
    85,112x = 114,492 × 114,492
  4. Step 4: Simplify right side
    85,112x = 13,108,418,064
  5. Step 5: Solve for x
    x = 13,108,418,064/85,112
  6. Step 6: Final answer
    x = 154,013.75

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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.