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Finding the Third Proportional to 102,772 and 159,046

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Solution

The third proportional to 102,772 and 159,046 is: 246,133.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,772 : 159,046 = 159,046 : x
  2. Step 2: Convert to fraction form
    102,772/159,046 = 159,046/x
  3. Step 3: Cross multiply
    102,772x = 159,046 × 159,046
  4. Step 4: Simplify right side
    102,772x = 25,295,630,116
  5. Step 5: Solve for x
    x = 25,295,630,116/102,772
  6. Step 6: Final answer
    x = 246,133.48

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.