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Finding the Third Proportional to 59,145.19 and 126,587.81

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Solution

The third proportional to 59,145.19 and 126,587.81 is: 270,934.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,145.19 : 126,587.81 = 126,587.81 : x
  2. Step 2: Convert to fraction form
    59,145.19/126,587.81 = 126,587.81/x
  3. Step 3: Cross multiply
    59,145.19x = 126,587.81 × 126,587.81
  4. Step 4: Simplify right side
    59,145.19x = 16,024,474,273.54
  5. Step 5: Solve for x
    x = 16,024,474,273.54/59,145.19
  6. Step 6: Final answer
    x = 270,934.54

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.