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Finding the Third Proportional to 51,207 and 106,502

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Solution

The third proportional to 51,207 and 106,502 is: 221,506.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,207 : 106,502 = 106,502 : x
  2. Step 2: Convert to fraction form
    51,207/106,502 = 106,502/x
  3. Step 3: Cross multiply
    51,207x = 106,502 × 106,502
  4. Step 4: Simplify right side
    51,207x = 11,342,676,004
  5. Step 5: Solve for x
    x = 11,342,676,004/51,207
  6. Step 6: Final answer
    x = 221,506.36

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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.