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Finding the Third Proportional to 51,534 and 111,480

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Solution

The third proportional to 51,534 and 111,480 is: 241,157.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,534 : 111,480 = 111,480 : x
  2. Step 2: Convert to fraction form
    51,534/111,480 = 111,480/x
  3. Step 3: Cross multiply
    51,534x = 111,480 × 111,480
  4. Step 4: Simplify right side
    51,534x = 12,427,790,400
  5. Step 5: Solve for x
    x = 12,427,790,400/51,534
  6. Step 6: Final answer
    x = 241,157.11

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.