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Finding the Third Proportional to 97,729.50 and 152,436

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Solution

The third proportional to 97,729.50 and 152,436 is: 237,765.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,729.50 : 152,436 = 152,436 : x
  2. Step 2: Convert to fraction form
    97,729.50/152,436 = 152,436/x
  3. Step 3: Cross multiply
    97,729.50x = 152,436 × 152,436
  4. Step 4: Simplify right side
    97,729.50x = 23,236,734,096
  5. Step 5: Solve for x
    x = 23,236,734,096/97,729.50
  6. Step 6: Final answer
    x = 237,765.81

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.