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Finding the Third Proportional to 65,353.50 and 97,770.38

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Solution

The third proportional to 65,353.50 and 97,770.38 is: 146,266.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,353.50 : 97,770.38 = 97,770.38 : x
  2. Step 2: Convert to fraction form
    65,353.50/97,770.38 = 97,770.38/x
  3. Step 3: Cross multiply
    65,353.50x = 97,770.38 × 97,770.38
  4. Step 4: Simplify right side
    65,353.50x = 9,559,046,227.64
  5. Step 5: Solve for x
    x = 9,559,046,227.64/65,353.50
  6. Step 6: Final answer
    x = 146,266.78

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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.