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Finding the Third Proportional to 129,051 and 195,520.50

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Solution

The third proportional to 129,051 and 195,520.50 is: 296,226.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,051 : 195,520.50 = 195,520.50 : x
  2. Step 2: Convert to fraction form
    129,051/195,520.50 = 195,520.50/x
  3. Step 3: Cross multiply
    129,051x = 195,520.50 × 195,520.50
  4. Step 4: Simplify right side
    129,051x = 38,228,265,920.25
  5. Step 5: Solve for x
    x = 38,228,265,920.25/129,051
  6. Step 6: Final answer
    x = 296,226.03

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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.