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Finding the Third Proportional to 109,059.75 and 162,938.25

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Solution

The third proportional to 109,059.75 and 162,938.25 is: 243,434.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,059.75 : 162,938.25 = 162,938.25 : x
  2. Step 2: Convert to fraction form
    109,059.75/162,938.25 = 162,938.25/x
  3. Step 3: Cross multiply
    109,059.75x = 162,938.25 × 162,938.25
  4. Step 4: Simplify right side
    109,059.75x = 26,548,873,313.06
  5. Step 5: Solve for x
    x = 26,548,873,313.06/109,059.75
  6. Step 6: Final answer
    x = 243,434.20

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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.