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Finding the Third Proportional to 54,687.50 and 78,203

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Solution

The third proportional to 54,687.50 and 78,203 is: 111,830.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,687.50 : 78,203 = 78,203 : x
  2. Step 2: Convert to fraction form
    54,687.50/78,203 = 78,203/x
  3. Step 3: Cross multiply
    54,687.50x = 78,203 × 78,203
  4. Step 4: Simplify right side
    54,687.50x = 6,115,709,209
  5. Step 5: Solve for x
    x = 6,115,709,209/54,687.50
  6. Step 6: Final answer
    x = 111,830.11

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.