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Finding the Third Proportional to 63,408 and 96,805

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Solution

The third proportional to 63,408 and 96,805 is: 147,792.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,408 : 96,805 = 96,805 : x
  2. Step 2: Convert to fraction form
    63,408/96,805 = 96,805/x
  3. Step 3: Cross multiply
    63,408x = 96,805 × 96,805
  4. Step 4: Simplify right side
    63,408x = 9,371,208,025
  5. Step 5: Solve for x
    x = 9,371,208,025/63,408
  6. Step 6: Final answer
    x = 147,792.20

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.