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Finding the Third Proportional to 60,237 and 80,500.50

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Solution

The third proportional to 60,237 and 80,500.50 is: 107,580.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,237 : 80,500.50 = 80,500.50 : x
  2. Step 2: Convert to fraction form
    60,237/80,500.50 = 80,500.50/x
  3. Step 3: Cross multiply
    60,237x = 80,500.50 × 80,500.50
  4. Step 4: Simplify right side
    60,237x = 6,480,330,500.25
  5. Step 5: Solve for x
    x = 6,480,330,500.25/60,237
  6. Step 6: Final answer
    x = 107,580.57

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.