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Finding the Third Proportional to 97,246.50 and 158,790.75

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Solution

The third proportional to 97,246.50 and 158,790.75 is: 259,284.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,246.50 : 158,790.75 = 158,790.75 : x
  2. Step 2: Convert to fraction form
    97,246.50/158,790.75 = 158,790.75/x
  3. Step 3: Cross multiply
    97,246.50x = 158,790.75 × 158,790.75
  4. Step 4: Simplify right side
    97,246.50x = 25,214,502,285.56
  5. Step 5: Solve for x
    x = 25,214,502,285.56/97,246.50
  6. Step 6: Final answer
    x = 259,284.42

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.