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Finding the Third Proportional to 62,469 and 99,353

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Solution

The third proportional to 62,469 and 99,353 is: 158,014.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,469 : 99,353 = 99,353 : x
  2. Step 2: Convert to fraction form
    62,469/99,353 = 99,353/x
  3. Step 3: Cross multiply
    62,469x = 99,353 × 99,353
  4. Step 4: Simplify right side
    62,469x = 9,871,018,609
  5. Step 5: Solve for x
    x = 9,871,018,609/62,469
  6. Step 6: Final answer
    x = 158,014.67

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.