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Finding the Third Proportional to 117,021 and 176,355

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Solution

The third proportional to 117,021 and 176,355 is: 265,773.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,021 : 176,355 = 176,355 : x
  2. Step 2: Convert to fraction form
    117,021/176,355 = 176,355/x
  3. Step 3: Cross multiply
    117,021x = 176,355 × 176,355
  4. Step 4: Simplify right side
    117,021x = 31,101,086,025
  5. Step 5: Solve for x
    x = 31,101,086,025/117,021
  6. Step 6: Final answer
    x = 265,773.55

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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.