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Finding the Third Proportional to 114,032 and 171,552

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Solution

The third proportional to 114,032 and 171,552 is: 258,086.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,032 : 171,552 = 171,552 : x
  2. Step 2: Convert to fraction form
    114,032/171,552 = 171,552/x
  3. Step 3: Cross multiply
    114,032x = 171,552 × 171,552
  4. Step 4: Simplify right side
    114,032x = 29,430,088,704
  5. Step 5: Solve for x
    x = 29,430,088,704/114,032
  6. Step 6: Final answer
    x = 258,086.23

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.