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Finding the Third Proportional to 49,526 and 73,196

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Solution

The third proportional to 49,526 and 73,196 is: 108,178.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,526 : 73,196 = 73,196 : x
  2. Step 2: Convert to fraction form
    49,526/73,196 = 73,196/x
  3. Step 3: Cross multiply
    49,526x = 73,196 × 73,196
  4. Step 4: Simplify right side
    49,526x = 5,357,654,416
  5. Step 5: Solve for x
    x = 5,357,654,416/49,526
  6. Step 6: Final answer
    x = 108,178.62

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.