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Finding the Third Proportional to 49,484 and 102,464

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Solution

The third proportional to 49,484 and 102,464 is: 212,166.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,484 : 102,464 = 102,464 : x
  2. Step 2: Convert to fraction form
    49,484/102,464 = 102,464/x
  3. Step 3: Cross multiply
    49,484x = 102,464 × 102,464
  4. Step 4: Simplify right side
    49,484x = 10,498,871,296
  5. Step 5: Solve for x
    x = 10,498,871,296/49,484
  6. Step 6: Final answer
    x = 212,166.99

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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.