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Finding the Third Proportional to 60,859 and 131,168

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Solution

The third proportional to 60,859 and 131,168 is: 282,703.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,859 : 131,168 = 131,168 : x
  2. Step 2: Convert to fraction form
    60,859/131,168 = 131,168/x
  3. Step 3: Cross multiply
    60,859x = 131,168 × 131,168
  4. Step 4: Simplify right side
    60,859x = 17,205,044,224
  5. Step 5: Solve for x
    x = 17,205,044,224/60,859
  6. Step 6: Final answer
    x = 282,703.37

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.