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Finding the Third Proportional to 82,293 and 122,901

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Solution

The third proportional to 82,293 and 122,901 is: 183,547.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,293 : 122,901 = 122,901 : x
  2. Step 2: Convert to fraction form
    82,293/122,901 = 122,901/x
  3. Step 3: Cross multiply
    82,293x = 122,901 × 122,901
  4. Step 4: Simplify right side
    82,293x = 15,104,655,801
  5. Step 5: Solve for x
    x = 15,104,655,801/82,293
  6. Step 6: Final answer
    x = 183,547.27

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.