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Finding the Third Proportional to 51,502 and 112,844

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Solution

The third proportional to 51,502 and 112,844 is: 247,248.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,502 : 112,844 = 112,844 : x
  2. Step 2: Convert to fraction form
    51,502/112,844 = 112,844/x
  3. Step 3: Cross multiply
    51,502x = 112,844 × 112,844
  4. Step 4: Simplify right side
    51,502x = 12,733,768,336
  5. Step 5: Solve for x
    x = 12,733,768,336/51,502
  6. Step 6: Final answer
    x = 247,248.04

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.