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Finding the Third Proportional to 65,322 and 97,728.75

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Solution

The third proportional to 65,322 and 97,728.75 is: 146,212.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,322 : 97,728.75 = 97,728.75 : x
  2. Step 2: Convert to fraction form
    65,322/97,728.75 = 97,728.75/x
  3. Step 3: Cross multiply
    65,322x = 97,728.75 × 97,728.75
  4. Step 4: Simplify right side
    65,322x = 9,550,908,576.56
  5. Step 5: Solve for x
    x = 9,550,908,576.56/65,322
  6. Step 6: Final answer
    x = 146,212.74

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.