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Finding the Third Proportional to 72,102 and 110,884.50

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Solution

The third proportional to 72,102 and 110,884.50 is: 170,527.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,102 : 110,884.50 = 110,884.50 : x
  2. Step 2: Convert to fraction form
    72,102/110,884.50 = 110,884.50/x
  3. Step 3: Cross multiply
    72,102x = 110,884.50 × 110,884.50
  4. Step 4: Simplify right side
    72,102x = 12,295,372,340.25
  5. Step 5: Solve for x
    x = 12,295,372,340.25/72,102
  6. Step 6: Final answer
    x = 170,527.48

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.