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Finding the Third Proportional to 49,574 and 79,804

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Solution

The third proportional to 49,574 and 79,804 is: 128,468.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,574 : 79,804 = 79,804 : x
  2. Step 2: Convert to fraction form
    49,574/79,804 = 79,804/x
  3. Step 3: Cross multiply
    49,574x = 79,804 × 79,804
  4. Step 4: Simplify right side
    49,574x = 6,368,678,416
  5. Step 5: Solve for x
    x = 6,368,678,416/49,574
  6. Step 6: Final answer
    x = 128,468.12

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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.