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Finding the Third Proportional to 65,654 and 96,152

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Solution

The third proportional to 65,654 and 96,152 is: 140,817.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,654 : 96,152 = 96,152 : x
  2. Step 2: Convert to fraction form
    65,654/96,152 = 96,152/x
  3. Step 3: Cross multiply
    65,654x = 96,152 × 96,152
  4. Step 4: Simplify right side
    65,654x = 9,245,207,104
  5. Step 5: Solve for x
    x = 9,245,207,104/65,654
  6. Step 6: Final answer
    x = 140,817.12

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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.