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Finding the Third Proportional to 57,555.50 and 87,533.50

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Solution

The third proportional to 57,555.50 and 87,533.50 is: 133,125.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,555.50 : 87,533.50 = 87,533.50 : x
  2. Step 2: Convert to fraction form
    57,555.50/87,533.50 = 87,533.50/x
  3. Step 3: Cross multiply
    57,555.50x = 87,533.50 × 87,533.50
  4. Step 4: Simplify right side
    57,555.50x = 7,662,113,622.25
  5. Step 5: Solve for x
    x = 7,662,113,622.25/57,555.50
  6. Step 6: Final answer
    x = 133,125.65

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.