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Finding the Third Proportional to 49,428 and 102,952

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Solution

The third proportional to 49,428 and 102,952 is: 214,435.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,428 : 102,952 = 102,952 : x
  2. Step 2: Convert to fraction form
    49,428/102,952 = 102,952/x
  3. Step 3: Cross multiply
    49,428x = 102,952 × 102,952
  4. Step 4: Simplify right side
    49,428x = 10,599,114,304
  5. Step 5: Solve for x
    x = 10,599,114,304/49,428
  6. Step 6: Final answer
    x = 214,435.43

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.