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Finding the Third Proportional to 27,137 and 65,365

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Solution

The third proportional to 27,137 and 65,365 is: 157,444.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,137 : 65,365 = 65,365 : x
  2. Step 2: Convert to fraction form
    27,137/65,365 = 65,365/x
  3. Step 3: Cross multiply
    27,137x = 65,365 × 65,365
  4. Step 4: Simplify right side
    27,137x = 4,272,583,225
  5. Step 5: Solve for x
    x = 4,272,583,225/27,137
  6. Step 6: Final answer
    x = 157,444.94

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.