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Finding the Third Proportional to 65,670.75 and 100,146.38

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Solution

The third proportional to 65,670.75 and 100,146.38 is: 152,720.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,670.75 : 100,146.38 = 100,146.38 : x
  2. Step 2: Convert to fraction form
    65,670.75/100,146.38 = 100,146.38/x
  3. Step 3: Cross multiply
    65,670.75x = 100,146.38 × 100,146.38
  4. Step 4: Simplify right side
    65,670.75x = 10,029,296,425.64
  5. Step 5: Solve for x
    x = 10,029,296,425.64/65,670.75
  6. Step 6: Final answer
    x = 152,720.91

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.