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Finding the Third Proportional to 82,307 and 122,919

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Solution

The third proportional to 82,307 and 122,919 is: 183,569.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,307 : 122,919 = 122,919 : x
  2. Step 2: Convert to fraction form
    82,307/122,919 = 122,919/x
  3. Step 3: Cross multiply
    82,307x = 122,919 × 122,919
  4. Step 4: Simplify right side
    82,307x = 15,109,080,561
  5. Step 5: Solve for x
    x = 15,109,080,561/82,307
  6. Step 6: Final answer
    x = 183,569.81

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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.