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Finding the Third Proportional to 49,130 and 105,263

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Solution

The third proportional to 49,130 and 105,263 is: 225,530.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,130 : 105,263 = 105,263 : x
  2. Step 2: Convert to fraction form
    49,130/105,263 = 105,263/x
  3. Step 3: Cross multiply
    49,130x = 105,263 × 105,263
  4. Step 4: Simplify right side
    49,130x = 11,080,299,169
  5. Step 5: Solve for x
    x = 11,080,299,169/49,130
  6. Step 6: Final answer
    x = 225,530.21

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.