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Finding the Third Proportional to 112,996.50 and 153,462.75

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Solution

The third proportional to 112,996.50 and 153,462.75 is: 208,420.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,996.50 : 153,462.75 = 153,462.75 : x
  2. Step 2: Convert to fraction form
    112,996.50/153,462.75 = 153,462.75/x
  3. Step 3: Cross multiply
    112,996.50x = 153,462.75 × 153,462.75
  4. Step 4: Simplify right side
    112,996.50x = 23,550,815,637.56
  5. Step 5: Solve for x
    x = 23,550,815,637.56/112,996.50
  6. Step 6: Final answer
    x = 208,420.75

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.