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Finding the Third Proportional to 127,075.50 and 273,834

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Solution

The third proportional to 127,075.50 and 273,834 is: 590,082.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,075.50 : 273,834 = 273,834 : x
  2. Step 2: Convert to fraction form
    127,075.50/273,834 = 273,834/x
  3. Step 3: Cross multiply
    127,075.50x = 273,834 × 273,834
  4. Step 4: Simplify right side
    127,075.50x = 74,985,059,556
  5. Step 5: Solve for x
    x = 74,985,059,556/127,075.50
  6. Step 6: Final answer
    x = 590,082.74

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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.