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Finding the Third Proportional to 127,075.50 and 273,832.88

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Solution

The third proportional to 127,075.50 and 273,832.88 is: 590,077.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,075.50 : 273,832.88 = 273,832.88 : x
  2. Step 2: Convert to fraction form
    127,075.50/273,832.88 = 273,832.88/x
  3. Step 3: Cross multiply
    127,075.50x = 273,832.88 × 273,832.88
  4. Step 4: Simplify right side
    127,075.50x = 74,984,443,430.77
  5. Step 5: Solve for x
    x = 74,984,443,430.77/127,075.50
  6. Step 6: Final answer
    x = 590,077.89

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.