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Finding the Third Proportional to 40,549 and 88,871

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Solution

The third proportional to 40,549 and 88,871 is: 194,778.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,549 : 88,871 = 88,871 : x
  2. Step 2: Convert to fraction form
    40,549/88,871 = 88,871/x
  3. Step 3: Cross multiply
    40,549x = 88,871 × 88,871
  4. Step 4: Simplify right side
    40,549x = 7,898,054,641
  5. Step 5: Solve for x
    x = 7,898,054,641/40,549
  6. Step 6: Final answer
    x = 194,778.04

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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.