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Finding the Third Proportional to 48,932 and 103,119

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Solution

The third proportional to 48,932 and 103,119 is: 217,312.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,932 : 103,119 = 103,119 : x
  2. Step 2: Convert to fraction form
    48,932/103,119 = 103,119/x
  3. Step 3: Cross multiply
    48,932x = 103,119 × 103,119
  4. Step 4: Simplify right side
    48,932x = 10,633,528,161
  5. Step 5: Solve for x
    x = 10,633,528,161/48,932
  6. Step 6: Final answer
    x = 217,312.36

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.