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Finding the Third Proportional to 116,962 and 176,495

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Solution

The third proportional to 116,962 and 176,495 is: 266,329.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,962 : 176,495 = 176,495 : x
  2. Step 2: Convert to fraction form
    116,962/176,495 = 176,495/x
  3. Step 3: Cross multiply
    116,962x = 176,495 × 176,495
  4. Step 4: Simplify right side
    116,962x = 31,150,485,025
  5. Step 5: Solve for x
    x = 31,150,485,025/116,962
  6. Step 6: Final answer
    x = 266,329.96

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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.