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Finding the Third Proportional to 49,359 and 79,485

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Solution

The third proportional to 49,359 and 79,485 is: 127,998.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,359 : 79,485 = 79,485 : x
  2. Step 2: Convert to fraction form
    49,359/79,485 = 79,485/x
  3. Step 3: Cross multiply
    49,359x = 79,485 × 79,485
  4. Step 4: Simplify right side
    49,359x = 6,317,865,225
  5. Step 5: Solve for x
    x = 6,317,865,225/49,359
  6. Step 6: Final answer
    x = 127,998.24

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.