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Finding the Third Proportional to 127,082.25 and 275,085.38

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Solution

The third proportional to 127,082.25 and 275,085.38 is: 595,456.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,082.25 : 275,085.38 = 275,085.38 : x
  2. Step 2: Convert to fraction form
    127,082.25/275,085.38 = 275,085.38/x
  3. Step 3: Cross multiply
    127,082.25x = 275,085.38 × 275,085.38
  4. Step 4: Simplify right side
    127,082.25x = 75,671,963,538.89
  5. Step 5: Solve for x
    x = 75,671,963,538.89/127,082.25
  6. Step 6: Final answer
    x = 595,456.59

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.