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Finding the Third Proportional to 49,135 and 105,277

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Solution

The third proportional to 49,135 and 105,277 is: 225,567.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,135 : 105,277 = 105,277 : x
  2. Step 2: Convert to fraction form
    49,135/105,277 = 105,277/x
  3. Step 3: Cross multiply
    49,135x = 105,277 × 105,277
  4. Step 4: Simplify right side
    49,135x = 11,083,246,729
  5. Step 5: Solve for x
    x = 11,083,246,729/49,135
  6. Step 6: Final answer
    x = 225,567.25

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.