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Finding the Third Proportional to 52,906 and 82,011

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Solution

The third proportional to 52,906 and 82,011 is: 127,127.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,906 : 82,011 = 82,011 : x
  2. Step 2: Convert to fraction form
    52,906/82,011 = 82,011/x
  3. Step 3: Cross multiply
    52,906x = 82,011 × 82,011
  4. Step 4: Simplify right side
    52,906x = 6,725,804,121
  5. Step 5: Solve for x
    x = 6,725,804,121/52,906
  6. Step 6: Final answer
    x = 127,127.44

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.