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Finding the Third Proportional to 52,476 and 113,246

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Solution

The third proportional to 52,476 and 113,246 is: 244,390.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,476 : 113,246 = 113,246 : x
  2. Step 2: Convert to fraction form
    52,476/113,246 = 113,246/x
  3. Step 3: Cross multiply
    52,476x = 113,246 × 113,246
  4. Step 4: Simplify right side
    52,476x = 12,824,656,516
  5. Step 5: Solve for x
    x = 12,824,656,516/52,476
  6. Step 6: Final answer
    x = 244,390.89

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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.