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Finding the Third Proportional to 49,270 and 106,316

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Solution

The third proportional to 49,270 and 106,316 is: 229,411.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,270 : 106,316 = 106,316 : x
  2. Step 2: Convert to fraction form
    49,270/106,316 = 106,316/x
  3. Step 3: Cross multiply
    49,270x = 106,316 × 106,316
  4. Step 4: Simplify right side
    49,270x = 11,303,091,856
  5. Step 5: Solve for x
    x = 11,303,091,856/49,270
  6. Step 6: Final answer
    x = 229,411.24

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.