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Finding the Third Proportional to 59,150.25 and 129,226.50

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Solution

The third proportional to 59,150.25 and 129,226.50 is: 282,323.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,150.25 : 129,226.50 = 129,226.50 : x
  2. Step 2: Convert to fraction form
    59,150.25/129,226.50 = 129,226.50/x
  3. Step 3: Cross multiply
    59,150.25x = 129,226.50 × 129,226.50
  4. Step 4: Simplify right side
    59,150.25x = 16,699,488,302.25
  5. Step 5: Solve for x
    x = 16,699,488,302.25/59,150.25
  6. Step 6: Final answer
    x = 282,323.21

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.