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Finding the Third Proportional to 106,234 and 163,066

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Solution

The third proportional to 106,234 and 163,066 is: 250,301.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,234 : 163,066 = 163,066 : x
  2. Step 2: Convert to fraction form
    106,234/163,066 = 163,066/x
  3. Step 3: Cross multiply
    106,234x = 163,066 × 163,066
  4. Step 4: Simplify right side
    106,234x = 26,590,520,356
  5. Step 5: Solve for x
    x = 26,590,520,356/106,234
  6. Step 6: Final answer
    x = 250,301.41

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.