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Finding the Third Proportional to 117,027 and 176,575.50

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Solution

The third proportional to 117,027 and 176,575.50 is: 266,424.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,027 : 176,575.50 = 176,575.50 : x
  2. Step 2: Convert to fraction form
    117,027/176,575.50 = 176,575.50/x
  3. Step 3: Cross multiply
    117,027x = 176,575.50 × 176,575.50
  4. Step 4: Simplify right side
    117,027x = 31,178,907,200.25
  5. Step 5: Solve for x
    x = 31,178,907,200.25/117,027
  6. Step 6: Final answer
    x = 266,424.90

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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.