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Finding the Third Proportional to 60,536 and 129,307

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Solution

The third proportional to 60,536 and 129,307 is: 276,204.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,536 : 129,307 = 129,307 : x
  2. Step 2: Convert to fraction form
    60,536/129,307 = 129,307/x
  3. Step 3: Cross multiply
    60,536x = 129,307 × 129,307
  4. Step 4: Simplify right side
    60,536x = 16,720,300,249
  5. Step 5: Solve for x
    x = 16,720,300,249/60,536
  6. Step 6: Final answer
    x = 276,204.25

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.