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Finding the Third Proportional to 97,740 and 148,554

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Solution

The third proportional to 97,740 and 148,554 is: 225,785.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,740 : 148,554 = 148,554 : x
  2. Step 2: Convert to fraction form
    97,740/148,554 = 148,554/x
  3. Step 3: Cross multiply
    97,740x = 148,554 × 148,554
  4. Step 4: Simplify right side
    97,740x = 22,068,290,916
  5. Step 5: Solve for x
    x = 22,068,290,916/97,740
  6. Step 6: Final answer
    x = 225,785.67

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