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Finding the Third Proportional to 73,267.50 and 114,276

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Solution

The third proportional to 73,267.50 and 114,276 is: 178,237.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,267.50 : 114,276 = 114,276 : x
  2. Step 2: Convert to fraction form
    73,267.50/114,276 = 114,276/x
  3. Step 3: Cross multiply
    73,267.50x = 114,276 × 114,276
  4. Step 4: Simplify right side
    73,267.50x = 13,059,004,176
  5. Step 5: Solve for x
    x = 13,059,004,176/73,267.50
  6. Step 6: Final answer
    x = 178,237.34

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.