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Finding the Third Proportional to 59,150.25 and 129,005.16

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Solution

The third proportional to 59,150.25 and 129,005.16 is: 281,356.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,150.25 : 129,005.16 = 129,005.16 : x
  2. Step 2: Convert to fraction form
    59,150.25/129,005.16 = 129,005.16/x
  3. Step 3: Cross multiply
    59,150.25x = 129,005.16 × 129,005.16
  4. Step 4: Simplify right side
    59,150.25x = 16,642,330,339.09
  5. Step 5: Solve for x
    x = 16,642,330,339.09/59,150.25
  6. Step 6: Final answer
    x = 281,356.89

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