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Finding the Third Proportional to 58,766 and 129,195.50

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Solution

The third proportional to 58,766 and 129,195.50 is: 284,032.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,766 : 129,195.50 = 129,195.50 : x
  2. Step 2: Convert to fraction form
    58,766/129,195.50 = 129,195.50/x
  3. Step 3: Cross multiply
    58,766x = 129,195.50 × 129,195.50
  4. Step 4: Simplify right side
    58,766x = 16,691,477,220.25
  5. Step 5: Solve for x
    x = 16,691,477,220.25/58,766
  6. Step 6: Final answer
    x = 284,032.90

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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.