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Finding the Third Proportional to 117,026 and 176,077

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Solution

The third proportional to 117,026 and 176,077 is: 264,924.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,026 : 176,077 = 176,077 : x
  2. Step 2: Convert to fraction form
    117,026/176,077 = 176,077/x
  3. Step 3: Cross multiply
    117,026x = 176,077 × 176,077
  4. Step 4: Simplify right side
    117,026x = 31,003,109,929
  5. Step 5: Solve for x
    x = 31,003,109,929/117,026
  6. Step 6: Final answer
    x = 264,924.97

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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.