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Finding the Third Proportional to 129,065 and 195,543

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Solution

The third proportional to 129,065 and 195,543 is: 296,262.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,065 : 195,543 = 195,543 : x
  2. Step 2: Convert to fraction form
    129,065/195,543 = 195,543/x
  3. Step 3: Cross multiply
    129,065x = 195,543 × 195,543
  4. Step 4: Simplify right side
    129,065x = 38,237,064,849
  5. Step 5: Solve for x
    x = 38,237,064,849/129,065
  6. Step 6: Final answer
    x = 296,262.08

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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.