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Finding the Third Proportional to 47,157.19 and 73,606.22

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Solution

The third proportional to 47,157.19 and 73,606.22 is: 114,889.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,157.19 : 73,606.22 = 73,606.22 : x
  2. Step 2: Convert to fraction form
    47,157.19/73,606.22 = 73,606.22/x
  3. Step 3: Cross multiply
    47,157.19x = 73,606.22 × 73,606.22
  4. Step 4: Simplify right side
    47,157.19x = 5,417,875,438.67
  5. Step 5: Solve for x
    x = 5,417,875,438.67/47,157.19
  6. Step 6: Final answer
    x = 114,889.71

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.