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Finding the Third Proportional to 115,540 and 155,932

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Solution

The third proportional to 115,540 and 155,932 is: 210,444.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,540 : 155,932 = 155,932 : x
  2. Step 2: Convert to fraction form
    115,540/155,932 = 155,932/x
  3. Step 3: Cross multiply
    115,540x = 155,932 × 155,932
  4. Step 4: Simplify right side
    115,540x = 24,314,788,624
  5. Step 5: Solve for x
    x = 24,314,788,624/115,540
  6. Step 6: Final answer
    x = 210,444.77

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.