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Finding the Third Proportional to 65,306.25 and 97,706.25

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Solution

The third proportional to 65,306.25 and 97,706.25 is: 146,180.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,306.25 : 97,706.25 = 97,706.25 : x
  2. Step 2: Convert to fraction form
    65,306.25/97,706.25 = 97,706.25/x
  3. Step 3: Cross multiply
    65,306.25x = 97,706.25 × 97,706.25
  4. Step 4: Simplify right side
    65,306.25x = 9,546,511,289.06
  5. Step 5: Solve for x
    x = 9,546,511,289.06/65,306.25
  6. Step 6: Final answer
    x = 146,180.67

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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.