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Finding the Third Proportional to 49,416 and 105,312

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Solution

The third proportional to 49,416 and 105,312 is: 224,433.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,416 : 105,312 = 105,312 : x
  2. Step 2: Convert to fraction form
    49,416/105,312 = 105,312/x
  3. Step 3: Cross multiply
    49,416x = 105,312 × 105,312
  4. Step 4: Simplify right side
    49,416x = 11,090,617,344
  5. Step 5: Solve for x
    x = 11,090,617,344/49,416
  6. Step 6: Final answer
    x = 224,433.73

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.