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Finding the Third Proportional to 35,220 and 72,060.50

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Solution

The third proportional to 35,220 and 72,060.50 is: 147,436.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,220 : 72,060.50 = 72,060.50 : x
  2. Step 2: Convert to fraction form
    35,220/72,060.50 = 72,060.50/x
  3. Step 3: Cross multiply
    35,220x = 72,060.50 × 72,060.50
  4. Step 4: Simplify right side
    35,220x = 5,192,715,660.25
  5. Step 5: Solve for x
    x = 5,192,715,660.25/35,220
  6. Step 6: Final answer
    x = 147,436.56

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.