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Finding the Third Proportional to 58,766 and 129,196

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Solution

The third proportional to 58,766 and 129,196 is: 284,035.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,766 : 129,196 = 129,196 : x
  2. Step 2: Convert to fraction form
    58,766/129,196 = 129,196/x
  3. Step 3: Cross multiply
    58,766x = 129,196 × 129,196
  4. Step 4: Simplify right side
    58,766x = 16,691,606,416
  5. Step 5: Solve for x
    x = 16,691,606,416/58,766
  6. Step 6: Final answer
    x = 284,035.10

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.