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Finding the Third Proportional to 75,445.50 and 104,592.50

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Solution

The third proportional to 75,445.50 and 104,592.50 is: 144,999.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,445.50 : 104,592.50 = 104,592.50 : x
  2. Step 2: Convert to fraction form
    75,445.50/104,592.50 = 104,592.50/x
  3. Step 3: Cross multiply
    75,445.50x = 104,592.50 × 104,592.50
  4. Step 4: Simplify right side
    75,445.50x = 10,939,591,056.25
  5. Step 5: Solve for x
    x = 10,939,591,056.25/75,445.50
  6. Step 6: Final answer
    x = 144,999.91

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.