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Finding the Third Proportional to 51,312 and 112,032

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Solution

The third proportional to 51,312 and 112,032 is: 244,604.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,312 : 112,032 = 112,032 : x
  2. Step 2: Convert to fraction form
    51,312/112,032 = 112,032/x
  3. Step 3: Cross multiply
    51,312x = 112,032 × 112,032
  4. Step 4: Simplify right side
    51,312x = 12,551,169,024
  5. Step 5: Solve for x
    x = 12,551,169,024/51,312
  6. Step 6: Final answer
    x = 244,604.95

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.