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Finding the Third Proportional to 114,046 and 178,901

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Solution

The third proportional to 114,046 and 178,901 is: 280,637.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,046 : 178,901 = 178,901 : x
  2. Step 2: Convert to fraction form
    114,046/178,901 = 178,901/x
  3. Step 3: Cross multiply
    114,046x = 178,901 × 178,901
  4. Step 4: Simplify right side
    114,046x = 32,005,567,801
  5. Step 5: Solve for x
    x = 32,005,567,801/114,046
  6. Step 6: Final answer
    x = 280,637.36

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.