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Finding the Third Proportional to 127,707.75 and 277,521.75

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Solution

The third proportional to 127,707.75 and 277,521.75 is: 603,082.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,707.75 : 277,521.75 = 277,521.75 : x
  2. Step 2: Convert to fraction form
    127,707.75/277,521.75 = 277,521.75/x
  3. Step 3: Cross multiply
    127,707.75x = 277,521.75 × 277,521.75
  4. Step 4: Simplify right side
    127,707.75x = 77,018,321,723.06
  5. Step 5: Solve for x
    x = 77,018,321,723.06/127,707.75
  6. Step 6: Final answer
    x = 603,082.60

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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.