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Finding the Third Proportional to 65,752 and 96,167

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Solution

The third proportional to 65,752 and 96,167 is: 140,651.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,752 : 96,167 = 96,167 : x
  2. Step 2: Convert to fraction form
    65,752/96,167 = 96,167/x
  3. Step 3: Cross multiply
    65,752x = 96,167 × 96,167
  4. Step 4: Simplify right side
    65,752x = 9,248,091,889
  5. Step 5: Solve for x
    x = 9,248,091,889/65,752
  6. Step 6: Final answer
    x = 140,651.11

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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.