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Finding the Third Proportional to 49,262 and 78,017

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Solution

The third proportional to 49,262 and 78,017 is: 123,556.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,262 : 78,017 = 78,017 : x
  2. Step 2: Convert to fraction form
    49,262/78,017 = 78,017/x
  3. Step 3: Cross multiply
    49,262x = 78,017 × 78,017
  4. Step 4: Simplify right side
    49,262x = 6,086,652,289
  5. Step 5: Solve for x
    x = 6,086,652,289/49,262
  6. Step 6: Final answer
    x = 123,556.74

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.