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Finding the Third Proportional to 112,854 and 175,307

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Solution

The third proportional to 112,854 and 175,307 is: 272,321.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,854 : 175,307 = 175,307 : x
  2. Step 2: Convert to fraction form
    112,854/175,307 = 175,307/x
  3. Step 3: Cross multiply
    112,854x = 175,307 × 175,307
  4. Step 4: Simplify right side
    112,854x = 30,732,544,249
  5. Step 5: Solve for x
    x = 30,732,544,249/112,854
  6. Step 6: Final answer
    x = 272,321.27

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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.