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Finding the Third Proportional to 111,731.50 and 157,412

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Solution

The third proportional to 111,731.50 and 157,412 is: 221,768.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,731.50 : 157,412 = 157,412 : x
  2. Step 2: Convert to fraction form
    111,731.50/157,412 = 157,412/x
  3. Step 3: Cross multiply
    111,731.50x = 157,412 × 157,412
  4. Step 4: Simplify right side
    111,731.50x = 24,778,537,744
  5. Step 5: Solve for x
    x = 24,778,537,744/111,731.50
  6. Step 6: Final answer
    x = 221,768.59

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.