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Finding the Third Proportional to 106,551 and 236,747

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Solution

The third proportional to 106,551 and 236,747 is: 526,031.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,551 : 236,747 = 236,747 : x
  2. Step 2: Convert to fraction form
    106,551/236,747 = 236,747/x
  3. Step 3: Cross multiply
    106,551x = 236,747 × 236,747
  4. Step 4: Simplify right side
    106,551x = 56,049,142,009
  5. Step 5: Solve for x
    x = 56,049,142,009/106,551
  6. Step 6: Final answer
    x = 526,031.12

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.