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Finding the Third Proportional to 59,106.38 and 128,259.75

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Solution

The third proportional to 59,106.38 and 128,259.75 is: 278,321.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,106.38 : 128,259.75 = 128,259.75 : x
  2. Step 2: Convert to fraction form
    59,106.38/128,259.75 = 128,259.75/x
  3. Step 3: Cross multiply
    59,106.38x = 128,259.75 × 128,259.75
  4. Step 4: Simplify right side
    59,106.38x = 16,450,563,470.06
  5. Step 5: Solve for x
    x = 16,450,563,470.06/59,106.38
  6. Step 6: Final answer
    x = 278,321.31

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.