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Finding the Third Proportional to 103,439 and 158,165.50

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Solution

The third proportional to 103,439 and 158,165.50 is: 241,846.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,439 : 158,165.50 = 158,165.50 : x
  2. Step 2: Convert to fraction form
    103,439/158,165.50 = 158,165.50/x
  3. Step 3: Cross multiply
    103,439x = 158,165.50 × 158,165.50
  4. Step 4: Simplify right side
    103,439x = 25,016,325,390.25
  5. Step 5: Solve for x
    x = 25,016,325,390.25/103,439
  6. Step 6: Final answer
    x = 241,846.16

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.