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Finding the Third Proportional to 64,191.50 and 94,469

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Solution

The third proportional to 64,191.50 and 94,469 is: 139,027.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,191.50 : 94,469 = 94,469 : x
  2. Step 2: Convert to fraction form
    64,191.50/94,469 = 94,469/x
  3. Step 3: Cross multiply
    64,191.50x = 94,469 × 94,469
  4. Step 4: Simplify right side
    64,191.50x = 8,924,391,961
  5. Step 5: Solve for x
    x = 8,924,391,961/64,191.50
  6. Step 6: Final answer
    x = 139,027.63

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.