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Finding the Third Proportional to 117,586 and 176,646

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Solution

The third proportional to 117,586 and 176,646 is: 265,370.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,586 : 176,646 = 176,646 : x
  2. Step 2: Convert to fraction form
    117,586/176,646 = 176,646/x
  3. Step 3: Cross multiply
    117,586x = 176,646 × 176,646
  4. Step 4: Simplify right side
    117,586x = 31,203,809,316
  5. Step 5: Solve for x
    x = 31,203,809,316/117,586
  6. Step 6: Final answer
    x = 265,370.11

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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.