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Finding the Third Proportional to 41,447 and 88,710

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Solution

The third proportional to 41,447 and 88,710 is: 189,868.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,447 : 88,710 = 88,710 : x
  2. Step 2: Convert to fraction form
    41,447/88,710 = 88,710/x
  3. Step 3: Cross multiply
    41,447x = 88,710 × 88,710
  4. Step 4: Simplify right side
    41,447x = 7,869,464,100
  5. Step 5: Solve for x
    x = 7,869,464,100/41,447
  6. Step 6: Final answer
    x = 189,868.12

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.