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Finding the Third Proportional to 73,111 and 110,207

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Solution

The third proportional to 73,111 and 110,207 is: 166,125.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,111 : 110,207 = 110,207 : x
  2. Step 2: Convert to fraction form
    73,111/110,207 = 110,207/x
  3. Step 3: Cross multiply
    73,111x = 110,207 × 110,207
  4. Step 4: Simplify right side
    73,111x = 12,145,582,849
  5. Step 5: Solve for x
    x = 12,145,582,849/73,111
  6. Step 6: Final answer
    x = 166,125.25

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.