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Finding the Third Proportional to 74,242.50 and 159,973.50

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Solution

The third proportional to 74,242.50 and 159,973.50 is: 344,701.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,242.50 : 159,973.50 = 159,973.50 : x
  2. Step 2: Convert to fraction form
    74,242.50/159,973.50 = 159,973.50/x
  3. Step 3: Cross multiply
    74,242.50x = 159,973.50 × 159,973.50
  4. Step 4: Simplify right side
    74,242.50x = 25,591,520,702.25
  5. Step 5: Solve for x
    x = 25,591,520,702.25/74,242.50
  6. Step 6: Final answer
    x = 344,701.76

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.