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Finding the Third Proportional to 116,937 and 176,463

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Solution

The third proportional to 116,937 and 176,463 is: 266,290.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,937 : 176,463 = 176,463 : x
  2. Step 2: Convert to fraction form
    116,937/176,463 = 176,463/x
  3. Step 3: Cross multiply
    116,937x = 176,463 × 176,463
  4. Step 4: Simplify right side
    116,937x = 31,139,190,369
  5. Step 5: Solve for x
    x = 31,139,190,369/116,937
  6. Step 6: Final answer
    x = 266,290.31

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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.