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Finding the Third Proportional to 59,069.63 and 127,980.75

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Solution

The third proportional to 59,069.63 and 127,980.75 is: 277,284.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,069.63 : 127,980.75 = 127,980.75 : x
  2. Step 2: Convert to fraction form
    59,069.63/127,980.75 = 127,980.75/x
  3. Step 3: Cross multiply
    59,069.63x = 127,980.75 × 127,980.75
  4. Step 4: Simplify right side
    59,069.63x = 16,379,072,370.56
  5. Step 5: Solve for x
    x = 16,379,072,370.56/59,069.63
  6. Step 6: Final answer
    x = 277,284.18

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Why These Related Problems?

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