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Finding the Third Proportional to 129,014 and 195,465

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Solution

The third proportional to 129,014 and 195,465 is: 296,142.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,014 : 195,465 = 195,465 : x
  2. Step 2: Convert to fraction form
    129,014/195,465 = 195,465/x
  3. Step 3: Cross multiply
    129,014x = 195,465 × 195,465
  4. Step 4: Simplify right side
    129,014x = 38,206,566,225
  5. Step 5: Solve for x
    x = 38,206,566,225/129,014
  6. Step 6: Final answer
    x = 296,142.79

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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.