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Finding the Third Proportional to 65,746 and 96,299

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Solution

The third proportional to 65,746 and 96,299 is: 141,050.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,746 : 96,299 = 96,299 : x
  2. Step 2: Convert to fraction form
    65,746/96,299 = 96,299/x
  3. Step 3: Cross multiply
    65,746x = 96,299 × 96,299
  4. Step 4: Simplify right side
    65,746x = 9,273,497,401
  5. Step 5: Solve for x
    x = 9,273,497,401/65,746
  6. Step 6: Final answer
    x = 141,050.37

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.