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Finding the Third Proportional to 35,559 and 72,140.63

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Solution

The third proportional to 35,559 and 72,140.63 is: 146,355.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,559 : 72,140.63 = 72,140.63 : x
  2. Step 2: Convert to fraction form
    35,559/72,140.63 = 72,140.63/x
  3. Step 3: Cross multiply
    35,559x = 72,140.63 × 72,140.63
  4. Step 4: Simplify right side
    35,559x = 5,204,269,775.39
  5. Step 5: Solve for x
    x = 5,204,269,775.39/35,559
  6. Step 6: Final answer
    x = 146,355.91

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.