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Finding the Third Proportional to 64,408 and 97,098

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Solution

The third proportional to 64,408 and 97,098 is: 146,379.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,408 : 97,098 = 97,098 : x
  2. Step 2: Convert to fraction form
    64,408/97,098 = 97,098/x
  3. Step 3: Cross multiply
    64,408x = 97,098 × 97,098
  4. Step 4: Simplify right side
    64,408x = 9,428,021,604
  5. Step 5: Solve for x
    x = 9,428,021,604/64,408
  6. Step 6: Final answer
    x = 146,379.67

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.