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Finding the Third Proportional to 116,969 and 176,462

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Solution

The third proportional to 116,969 and 176,462 is: 266,214.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,969 : 176,462 = 176,462 : x
  2. Step 2: Convert to fraction form
    116,969/176,462 = 176,462/x
  3. Step 3: Cross multiply
    116,969x = 176,462 × 176,462
  4. Step 4: Simplify right side
    116,969x = 31,138,837,444
  5. Step 5: Solve for x
    x = 31,138,837,444/116,969
  6. Step 6: Final answer
    x = 266,214.45

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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.