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Finding the Third Proportional to 77,533 and 116,299

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Solution

The third proportional to 77,533 and 116,299 is: 174,447.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,533 : 116,299 = 116,299 : x
  2. Step 2: Convert to fraction form
    77,533/116,299 = 116,299/x
  3. Step 3: Cross multiply
    77,533x = 116,299 × 116,299
  4. Step 4: Simplify right side
    77,533x = 13,525,457,401
  5. Step 5: Solve for x
    x = 13,525,457,401/77,533
  6. Step 6: Final answer
    x = 174,447.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.