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Finding the Third Proportional to 133,023.50 and 157,627

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Solution

The third proportional to 133,023.50 and 157,627 is: 186,781.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,023.50 : 157,627 = 157,627 : x
  2. Step 2: Convert to fraction form
    133,023.50/157,627 = 157,627/x
  3. Step 3: Cross multiply
    133,023.50x = 157,627 × 157,627
  4. Step 4: Simplify right side
    133,023.50x = 24,846,271,129
  5. Step 5: Solve for x
    x = 24,846,271,129/133,023.50
  6. Step 6: Final answer
    x = 186,781.07

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Why These Related Problems?

These problems maintain the same ratio (1.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.