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Finding the Third Proportional to 60,100 and 129,232

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Solution

The third proportional to 60,100 and 129,232 is: 277,885.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,100 : 129,232 = 129,232 : x
  2. Step 2: Convert to fraction form
    60,100/129,232 = 129,232/x
  3. Step 3: Cross multiply
    60,100x = 129,232 × 129,232
  4. Step 4: Simplify right side
    60,100x = 16,700,909,824
  5. Step 5: Solve for x
    x = 16,700,909,824/60,100
  6. Step 6: Final answer
    x = 277,885.35

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.