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Finding the Third Proportional to 49,322 and 107,871

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Solution

The third proportional to 49,322 and 107,871 is: 235,922.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,322 : 107,871 = 107,871 : x
  2. Step 2: Convert to fraction form
    49,322/107,871 = 107,871/x
  3. Step 3: Cross multiply
    49,322x = 107,871 × 107,871
  4. Step 4: Simplify right side
    49,322x = 11,636,152,641
  5. Step 5: Solve for x
    x = 11,636,152,641/49,322
  6. Step 6: Final answer
    x = 235,922.16

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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.