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Finding the Third Proportional to 117,998 and 176,962

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Solution

The third proportional to 117,998 and 176,962 is: 265,390.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,998 : 176,962 = 176,962 : x
  2. Step 2: Convert to fraction form
    117,998/176,962 = 176,962/x
  3. Step 3: Cross multiply
    117,998x = 176,962 × 176,962
  4. Step 4: Simplify right side
    117,998x = 31,315,549,444
  5. Step 5: Solve for x
    x = 31,315,549,444/117,998
  6. Step 6: Final answer
    x = 265,390.51

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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.