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Finding the Third Proportional to 72,550 and 112,100

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Solution

The third proportional to 72,550 and 112,100 is: 173,210.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,550 : 112,100 = 112,100 : x
  2. Step 2: Convert to fraction form
    72,550/112,100 = 112,100/x
  3. Step 3: Cross multiply
    72,550x = 112,100 × 112,100
  4. Step 4: Simplify right side
    72,550x = 12,566,410,000
  5. Step 5: Solve for x
    x = 12,566,410,000/72,550
  6. Step 6: Final answer
    x = 173,210.34

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.