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Finding the Third Proportional to 111,046 and 171,760

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Solution

The third proportional to 111,046 and 171,760 is: 265,669.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,046 : 171,760 = 171,760 : x
  2. Step 2: Convert to fraction form
    111,046/171,760 = 171,760/x
  3. Step 3: Cross multiply
    111,046x = 171,760 × 171,760
  4. Step 4: Simplify right side
    111,046x = 29,501,497,600
  5. Step 5: Solve for x
    x = 29,501,497,600/111,046
  6. Step 6: Final answer
    x = 265,669.16

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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.