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Finding the Third Proportional to 129,045 and 282,877

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Solution

The third proportional to 129,045 and 282,877 is: 620,089.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,045 : 282,877 = 282,877 : x
  2. Step 2: Convert to fraction form
    129,045/282,877 = 282,877/x
  3. Step 3: Cross multiply
    129,045x = 282,877 × 282,877
  4. Step 4: Simplify right side
    129,045x = 80,019,397,129
  5. Step 5: Solve for x
    x = 80,019,397,129/129,045
  6. Step 6: Final answer
    x = 620,089.09

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.