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Finding the Third Proportional to 129,114 and 188,535

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Solution

The third proportional to 129,114 and 188,535 is: 275,302.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,114 : 188,535 = 188,535 : x
  2. Step 2: Convert to fraction form
    129,114/188,535 = 188,535/x
  3. Step 3: Cross multiply
    129,114x = 188,535 × 188,535
  4. Step 4: Simplify right side
    129,114x = 35,545,446,225
  5. Step 5: Solve for x
    x = 35,545,446,225/129,114
  6. Step 6: Final answer
    x = 275,302.80

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.