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Finding the Third Proportional to 51,506 and 119,236

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Solution

The third proportional to 51,506 and 119,236 is: 276,030.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,506 : 119,236 = 119,236 : x
  2. Step 2: Convert to fraction form
    51,506/119,236 = 119,236/x
  3. Step 3: Cross multiply
    51,506x = 119,236 × 119,236
  4. Step 4: Simplify right side
    51,506x = 14,217,223,696
  5. Step 5: Solve for x
    x = 14,217,223,696/51,506
  6. Step 6: Final answer
    x = 276,030.44

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.