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Finding the Third Proportional to 47,559.66 and 73,127.81

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Solution

The third proportional to 47,559.66 and 73,127.81 is: 112,441.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,559.66 : 73,127.81 = 73,127.81 : x
  2. Step 2: Convert to fraction form
    47,559.66/73,127.81 = 73,127.81/x
  3. Step 3: Cross multiply
    47,559.66x = 73,127.81 × 73,127.81
  4. Step 4: Simplify right side
    47,559.66x = 5,347,676,961.04
  5. Step 5: Solve for x
    x = 5,347,676,961.04/47,559.66
  6. Step 6: Final answer
    x = 112,441.46

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.