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Finding the Third Proportional to 68,445 and 159,016.50

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Solution

The third proportional to 68,445 and 159,016.50 is: 369,438.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,445 : 159,016.50 = 159,016.50 : x
  2. Step 2: Convert to fraction form
    68,445/159,016.50 = 159,016.50/x
  3. Step 3: Cross multiply
    68,445x = 159,016.50 × 159,016.50
  4. Step 4: Simplify right side
    68,445x = 25,286,247,272.25
  5. Step 5: Solve for x
    x = 25,286,247,272.25/68,445
  6. Step 6: Final answer
    x = 369,438.93

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.