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Finding the Third Proportional to 49,248 and 101,400

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Solution

The third proportional to 49,248 and 101,400 is: 208,779.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,248 : 101,400 = 101,400 : x
  2. Step 2: Convert to fraction form
    49,248/101,400 = 101,400/x
  3. Step 3: Cross multiply
    49,248x = 101,400 × 101,400
  4. Step 4: Simplify right side
    49,248x = 10,281,960,000
  5. Step 5: Solve for x
    x = 10,281,960,000/49,248
  6. Step 6: Final answer
    x = 208,779.24

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.