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Finding the Third Proportional to 49,548 and 108,120

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Solution

The third proportional to 49,548 and 108,120 is: 235,931.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,548 : 108,120 = 108,120 : x
  2. Step 2: Convert to fraction form
    49,548/108,120 = 108,120/x
  3. Step 3: Cross multiply
    49,548x = 108,120 × 108,120
  4. Step 4: Simplify right side
    49,548x = 11,689,934,400
  5. Step 5: Solve for x
    x = 11,689,934,400/49,548
  6. Step 6: Final answer
    x = 235,931.51

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.