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Finding the Third Proportional to 120,232.50 and 187,627.50

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Solution

The third proportional to 120,232.50 and 187,627.50 is: 292,800.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,232.50 : 187,627.50 = 187,627.50 : x
  2. Step 2: Convert to fraction form
    120,232.50/187,627.50 = 187,627.50/x
  3. Step 3: Cross multiply
    120,232.50x = 187,627.50 × 187,627.50
  4. Step 4: Simplify right side
    120,232.50x = 35,204,078,756.25
  5. Step 5: Solve for x
    x = 35,204,078,756.25/120,232.50
  6. Step 6: Final answer
    x = 292,800.02

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.