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Finding the Third Proportional to 49,271.63 and 102,043.13

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Solution

The third proportional to 49,271.63 and 102,043.13 is: 211,334.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,271.63 : 102,043.13 = 102,043.13 : x
  2. Step 2: Convert to fraction form
    49,271.63/102,043.13 = 102,043.13/x
  3. Step 3: Cross multiply
    49,271.63x = 102,043.13 × 102,043.13
  4. Step 4: Simplify right side
    49,271.63x = 10,412,799,359.77
  5. Step 5: Solve for x
    x = 10,412,799,359.77/49,271.63
  6. Step 6: Final answer
    x = 211,334.60

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.