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Finding the Third Proportional to 35,147 and 73,210.50

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Solution

The third proportional to 35,147 and 73,210.50 is: 152,496.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,147 : 73,210.50 = 73,210.50 : x
  2. Step 2: Convert to fraction form
    35,147/73,210.50 = 73,210.50/x
  3. Step 3: Cross multiply
    35,147x = 73,210.50 × 73,210.50
  4. Step 4: Simplify right side
    35,147x = 5,359,777,310.25
  5. Step 5: Solve for x
    x = 5,359,777,310.25/35,147
  6. Step 6: Final answer
    x = 152,496.01

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.