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Finding the Third Proportional to 52,540 and 114,152

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Solution

The third proportional to 52,540 and 114,152 is: 248,014.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,540 : 114,152 = 114,152 : x
  2. Step 2: Convert to fraction form
    52,540/114,152 = 114,152/x
  3. Step 3: Cross multiply
    52,540x = 114,152 × 114,152
  4. Step 4: Simplify right side
    52,540x = 13,030,679,104
  5. Step 5: Solve for x
    x = 13,030,679,104/52,540
  6. Step 6: Final answer
    x = 248,014.45

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Why These Related Problems?

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