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Finding the Third Proportional to 117,007 and 176,543

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Solution

The third proportional to 117,007 and 176,543 is: 266,372.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,007 : 176,543 = 176,543 : x
  2. Step 2: Convert to fraction form
    117,007/176,543 = 176,543/x
  3. Step 3: Cross multiply
    117,007x = 176,543 × 176,543
  4. Step 4: Simplify right side
    117,007x = 31,167,430,849
  5. Step 5: Solve for x
    x = 31,167,430,849/117,007
  6. Step 6: Final answer
    x = 266,372.36

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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.