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Finding the Third Proportional to 64,385 and 97,894

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Solution

The third proportional to 64,385 and 97,894 is: 148,842.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,385 : 97,894 = 97,894 : x
  2. Step 2: Convert to fraction form
    64,385/97,894 = 97,894/x
  3. Step 3: Cross multiply
    64,385x = 97,894 × 97,894
  4. Step 4: Simplify right side
    64,385x = 9,583,235,236
  5. Step 5: Solve for x
    x = 9,583,235,236/64,385
  6. Step 6: Final answer
    x = 148,842.67

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Why These Related Problems?

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