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Finding the Third Proportional to 72,331 and 108,066

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Solution

The third proportional to 72,331 and 108,066 is: 161,455.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,331 : 108,066 = 108,066 : x
  2. Step 2: Convert to fraction form
    72,331/108,066 = 108,066/x
  3. Step 3: Cross multiply
    72,331x = 108,066 × 108,066
  4. Step 4: Simplify right side
    72,331x = 11,678,260,356
  5. Step 5: Solve for x
    x = 11,678,260,356/72,331
  6. Step 6: Final answer
    x = 161,455.81

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.