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Finding the Third Proportional to 49,128 and 76,206

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Solution

The third proportional to 49,128 and 76,206 is: 118,208.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,128 : 76,206 = 76,206 : x
  2. Step 2: Convert to fraction form
    49,128/76,206 = 76,206/x
  3. Step 3: Cross multiply
    49,128x = 76,206 × 76,206
  4. Step 4: Simplify right side
    49,128x = 5,807,354,436
  5. Step 5: Solve for x
    x = 5,807,354,436/49,128
  6. Step 6: Final answer
    x = 118,208.65

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.