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Finding the Third Proportional to 44,475 and 106,307

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Solution

The third proportional to 44,475 and 106,307 is: 254,101.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,475 : 106,307 = 106,307 : x
  2. Step 2: Convert to fraction form
    44,475/106,307 = 106,307/x
  3. Step 3: Cross multiply
    44,475x = 106,307 × 106,307
  4. Step 4: Simplify right side
    44,475x = 11,301,178,249
  5. Step 5: Solve for x
    x = 11,301,178,249/44,475
  6. Step 6: Final answer
    x = 254,101.82

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Why These Related Problems?

These problems maintain the same ratio (2.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.