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Finding the Third Proportional to 114,059.25 and 170,154.75

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Solution

The third proportional to 114,059.25 and 170,154.75 is: 253,838.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,059.25 : 170,154.75 = 170,154.75 : x
  2. Step 2: Convert to fraction form
    114,059.25/170,154.75 = 170,154.75/x
  3. Step 3: Cross multiply
    114,059.25x = 170,154.75 × 170,154.75
  4. Step 4: Simplify right side
    114,059.25x = 28,952,638,947.56
  5. Step 5: Solve for x
    x = 28,952,638,947.56/114,059.25
  6. Step 6: Final answer
    x = 253,838.59

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.