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Finding the Third Proportional to 25,146 and 54,492

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Solution

The third proportional to 25,146 and 54,492 is: 118,085.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,146 : 54,492 = 54,492 : x
  2. Step 2: Convert to fraction form
    25,146/54,492 = 54,492/x
  3. Step 3: Cross multiply
    25,146x = 54,492 × 54,492
  4. Step 4: Simplify right side
    25,146x = 2,969,378,064
  5. Step 5: Solve for x
    x = 2,969,378,064/25,146
  6. Step 6: Final answer
    x = 118,085.50

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.