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Finding the Third Proportional to 60,383 and 131,737

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Solution

The third proportional to 60,383 and 131,737 is: 287,409.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,383 : 131,737 = 131,737 : x
  2. Step 2: Convert to fraction form
    60,383/131,737 = 131,737/x
  3. Step 3: Cross multiply
    60,383x = 131,737 × 131,737
  4. Step 4: Simplify right side
    60,383x = 17,354,637,169
  5. Step 5: Solve for x
    x = 17,354,637,169/60,383
  6. Step 6: Final answer
    x = 287,409.32

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.