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Finding the Third Proportional to 129,053 and 195,524

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Solution

The third proportional to 129,053 and 195,524 is: 296,232.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,053 : 195,524 = 195,524 : x
  2. Step 2: Convert to fraction form
    129,053/195,524 = 195,524/x
  3. Step 3: Cross multiply
    129,053x = 195,524 × 195,524
  4. Step 4: Simplify right side
    129,053x = 38,229,634,576
  5. Step 5: Solve for x
    x = 38,229,634,576/129,053
  6. Step 6: Final answer
    x = 296,232.05

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.