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Finding the Third Proportional to 60,405.75 and 92,704.50

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Solution

The third proportional to 60,405.75 and 92,704.50 is: 142,273.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,405.75 : 92,704.50 = 92,704.50 : x
  2. Step 2: Convert to fraction form
    60,405.75/92,704.50 = 92,704.50/x
  3. Step 3: Cross multiply
    60,405.75x = 92,704.50 × 92,704.50
  4. Step 4: Simplify right side
    60,405.75x = 8,594,124,320.25
  5. Step 5: Solve for x
    x = 8,594,124,320.25/60,405.75
  6. Step 6: Final answer
    x = 142,273.28

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.