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Finding the Third Proportional to 50,101.66 and 73,509.40

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Solution

The third proportional to 50,101.66 and 73,509.40 is: 107,853.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,101.66 : 73,509.40 = 73,509.40 : x
  2. Step 2: Convert to fraction form
    50,101.66/73,509.40 = 73,509.40/x
  3. Step 3: Cross multiply
    50,101.66x = 73,509.40 × 73,509.40
  4. Step 4: Simplify right side
    50,101.66x = 5,403,631,658.64
  5. Step 5: Solve for x
    x = 5,403,631,658.64/50,101.66
  6. Step 6: Final answer
    x = 107,853.34

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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.