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Finding the Third Proportional to 55,714 and 86,307

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Solution

The third proportional to 55,714 and 86,307 is: 133,698.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,714 : 86,307 = 86,307 : x
  2. Step 2: Convert to fraction form
    55,714/86,307 = 86,307/x
  3. Step 3: Cross multiply
    55,714x = 86,307 × 86,307
  4. Step 4: Simplify right side
    55,714x = 7,448,898,249
  5. Step 5: Solve for x
    x = 7,448,898,249/55,714
  6. Step 6: Final answer
    x = 133,698.86

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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.