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Finding the Third Proportional to 49,712 and 102,341

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Solution

The third proportional to 49,712 and 102,341 is: 210,687.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,712 : 102,341 = 102,341 : x
  2. Step 2: Convert to fraction form
    49,712/102,341 = 102,341/x
  3. Step 3: Cross multiply
    49,712x = 102,341 × 102,341
  4. Step 4: Simplify right side
    49,712x = 10,473,680,281
  5. Step 5: Solve for x
    x = 10,473,680,281/49,712
  6. Step 6: Final answer
    x = 210,687.16

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.