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Finding the Third Proportional to 72,474.75 and 106,322.63

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Solution

The third proportional to 72,474.75 and 106,322.63 is: 155,978.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,474.75 : 106,322.63 = 106,322.63 : x
  2. Step 2: Convert to fraction form
    72,474.75/106,322.63 = 106,322.63/x
  3. Step 3: Cross multiply
    72,474.75x = 106,322.63 × 106,322.63
  4. Step 4: Simplify right side
    72,474.75x = 11,304,500,586.89
  5. Step 5: Solve for x
    x = 11,304,500,586.89/72,474.75
  6. Step 6: Final answer
    x = 155,978.47

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.