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Finding the Third Proportional to 51,960 and 112,326

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Solution

The third proportional to 51,960 and 112,326 is: 242,823.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,960 : 112,326 = 112,326 : x
  2. Step 2: Convert to fraction form
    51,960/112,326 = 112,326/x
  3. Step 3: Cross multiply
    51,960x = 112,326 × 112,326
  4. Step 4: Simplify right side
    51,960x = 12,617,130,276
  5. Step 5: Solve for x
    x = 12,617,130,276/51,960
  6. Step 6: Final answer
    x = 242,823.91

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.