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Finding the Third Proportional to 60,196 and 129,642

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Solution

The third proportional to 60,196 and 129,642 is: 279,205.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,196 : 129,642 = 129,642 : x
  2. Step 2: Convert to fraction form
    60,196/129,642 = 129,642/x
  3. Step 3: Cross multiply
    60,196x = 129,642 × 129,642
  4. Step 4: Simplify right side
    60,196x = 16,807,048,164
  5. Step 5: Solve for x
    x = 16,807,048,164/60,196
  6. Step 6: Final answer
    x = 279,205.40

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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.