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Finding the Third Proportional to 116,600.63 and 157,524.75

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Solution

The third proportional to 116,600.63 and 157,524.75 is: 212,812.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,600.63 : 157,524.75 = 157,524.75 : x
  2. Step 2: Convert to fraction form
    116,600.63/157,524.75 = 157,524.75/x
  3. Step 3: Cross multiply
    116,600.63x = 157,524.75 × 157,524.75
  4. Step 4: Simplify right side
    116,600.63x = 24,814,046,862.56
  5. Step 5: Solve for x
    x = 24,814,046,862.56/116,600.63
  6. Step 6: Final answer
    x = 212,812.30

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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.