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Finding the Third Proportional to 48,455.72 and 102,771.91

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Solution

The third proportional to 48,455.72 and 102,771.91 is: 217,973.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,455.72 : 102,771.91 = 102,771.91 : x
  2. Step 2: Convert to fraction form
    48,455.72/102,771.91 = 102,771.91/x
  3. Step 3: Cross multiply
    48,455.72x = 102,771.91 × 102,771.91
  4. Step 4: Simplify right side
    48,455.72x = 10,562,066,320.07
  5. Step 5: Solve for x
    x = 10,562,066,320.07/48,455.72
  6. Step 6: Final answer
    x = 217,973.58

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.