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Finding the Third Proportional to 49,516 and 108,066

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Solution

The third proportional to 49,516 and 108,066 is: 235,848.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,516 : 108,066 = 108,066 : x
  2. Step 2: Convert to fraction form
    49,516/108,066 = 108,066/x
  3. Step 3: Cross multiply
    49,516x = 108,066 × 108,066
  4. Step 4: Simplify right side
    49,516x = 11,678,260,356
  5. Step 5: Solve for x
    x = 11,678,260,356/49,516
  6. Step 6: Final answer
    x = 235,848.22

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.