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Finding the Third Proportional to 37,807 and 88,307

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Solution

The third proportional to 37,807 and 88,307 is: 206,261.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,807 : 88,307 = 88,307 : x
  2. Step 2: Convert to fraction form
    37,807/88,307 = 88,307/x
  3. Step 3: Cross multiply
    37,807x = 88,307 × 88,307
  4. Step 4: Simplify right side
    37,807x = 7,798,126,249
  5. Step 5: Solve for x
    x = 7,798,126,249/37,807
  6. Step 6: Final answer
    x = 206,261.44

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.