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Finding the Third Proportional to 110,066 and 170,863

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Solution

The third proportional to 110,066 and 170,863 is: 265,242.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,066 : 170,863 = 170,863 : x
  2. Step 2: Convert to fraction form
    110,066/170,863 = 170,863/x
  3. Step 3: Cross multiply
    110,066x = 170,863 × 170,863
  4. Step 4: Simplify right side
    110,066x = 29,194,164,769
  5. Step 5: Solve for x
    x = 29,194,164,769/110,066
  6. Step 6: Final answer
    x = 265,242.35

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.