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Finding the Third Proportional to 59,866 and 95,307

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Solution

The third proportional to 59,866 and 95,307 is: 151,729.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,866 : 95,307 = 95,307 : x
  2. Step 2: Convert to fraction form
    59,866/95,307 = 95,307/x
  3. Step 3: Cross multiply
    59,866x = 95,307 × 95,307
  4. Step 4: Simplify right side
    59,866x = 9,083,424,249
  5. Step 5: Solve for x
    x = 9,083,424,249/59,866
  6. Step 6: Final answer
    x = 151,729.27

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.