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Finding the Third Proportional to 58,765.25 and 129,194.50

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Solution

The third proportional to 58,765.25 and 129,194.50 is: 284,032.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,765.25 : 129,194.50 = 129,194.50 : x
  2. Step 2: Convert to fraction form
    58,765.25/129,194.50 = 129,194.50/x
  3. Step 3: Cross multiply
    58,765.25x = 129,194.50 × 129,194.50
  4. Step 4: Simplify right side
    58,765.25x = 16,691,218,830.25
  5. Step 5: Solve for x
    x = 16,691,218,830.25/58,765.25
  6. Step 6: Final answer
    x = 284,032.12

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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.