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Finding the Third Proportional to 102,542.50 and 155,180.25

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Solution

The third proportional to 102,542.50 and 155,180.25 is: 234,838.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,542.50 : 155,180.25 = 155,180.25 : x
  2. Step 2: Convert to fraction form
    102,542.50/155,180.25 = 155,180.25/x
  3. Step 3: Cross multiply
    102,542.50x = 155,180.25 × 155,180.25
  4. Step 4: Simplify right side
    102,542.50x = 24,080,909,990.06
  5. Step 5: Solve for x
    x = 24,080,909,990.06/102,542.50
  6. Step 6: Final answer
    x = 234,838.34

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.