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Finding the Third Proportional to 97,942.50 and 147,035.25

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Solution

The third proportional to 97,942.50 and 147,035.25 is: 220,735.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,942.50 : 147,035.25 = 147,035.25 : x
  2. Step 2: Convert to fraction form
    97,942.50/147,035.25 = 147,035.25/x
  3. Step 3: Cross multiply
    97,942.50x = 147,035.25 × 147,035.25
  4. Step 4: Simplify right side
    97,942.50x = 21,619,364,742.56
  5. Step 5: Solve for x
    x = 21,619,364,742.56/97,942.50
  6. Step 6: Final answer
    x = 220,735.28

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.