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Finding the Third Proportional to 113,610.75 and 159,298.50

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Solution

The third proportional to 113,610.75 and 159,298.50 is: 223,359.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,610.75 : 159,298.50 = 159,298.50 : x
  2. Step 2: Convert to fraction form
    113,610.75/159,298.50 = 159,298.50/x
  3. Step 3: Cross multiply
    113,610.75x = 159,298.50 × 159,298.50
  4. Step 4: Simplify right side
    113,610.75x = 25,376,012,102.25
  5. Step 5: Solve for x
    x = 25,376,012,102.25/113,610.75
  6. Step 6: Final answer
    x = 223,359.25

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.